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pre1980.bib
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Jeff Erickson at 2021-03-20 09:29:57 -0500
%% Saved with string encoding Unicode (UTF-8)
@article{b-ncapd-32,
author = {Bouguer, Pierre},
date-added = {2021-03-20 09:29:43 -0500},
date-modified = {2021-03-20 09:29:43 -0500},
journal = {Mémoires de mathématique et de physique tirés des registres de l’Académie royale des sciences},
pages = {1--14},
title = {Sur de nouvelles courbes ausquelle on peut donner le nom de linges de poursuite},
url = {https://gallica.bnf.fr/ark:/12148/bpt6k35294},
year = {1732},
Bdsk-Url-1 = {https://gallica.bnf.fr/ark:/12148/bpt6k35294#}}
@article{m-cp-32,
author = {de Maupertuis, Pierre},
date-added = {2021-03-20 09:29:43 -0500},
date-modified = {2021-03-20 09:29:43 -0500},
journal = {Mémoires de mathématique et de physique tirés des registres de l’Académie royale des sciences},
pages = {15--17},
title = {Sure les Courbes de poursuite},
url = {https://gallica.bnf.fr/ark:/12148/bpt6k35294},
year = {1732},
Bdsk-Url-1 = {https://gallica.bnf.fr/ark:/12148/bpt6k35294#}}
@article{h-psp2-20,
author = {Hathaway, Arthur S.},
date-added = {2021-03-20 09:29:43 -0500},
date-modified = {2021-03-20 09:29:43 -0500},
doi = {10.2307/2973244},
journal = {American Mathematical Monthly},
number = {1},
pages = {31},
title = {Problems and Solutions: Problem 2801},
volume = {27},
year = {1920},
Bdsk-Url-1 = {https://doi.org/10.2307/2973244}}
@book{i-dg-65,
author = {Isaacs, Rufus},
comments = {Dover 1999},
date-added = {2021-03-20 09:29:43 -0500},
date-modified = {2021-03-20 09:29:43 -0500},
publisher = {John Wiley \& Sons},
title = {Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization},
year = {1965}}
@article{z-glpdn-66,
abstract = {Methods based on Diophantine approximations lead to a simple and easy construction of rational vectors the multiple of which, reduced modulo 1, form finite sequences of points with certain properties of equipartition over the unit square. Given a function of bounded variation over this square, it is suggested that computing the average of its values at the points of such a sequence can be a practical method of numerical integration. Precise bounds for the error ore obtained. In the general case, these are of the order of the product of the reciprocal and of the logarithm of the number of points; in the case of a function satisfying stated conditions of regularity and periodicity, they are of the order of the logarithm of the number of points divided by an appropriately high power of this number. A slight sharpening of some well-known results on equipartiton is obtained incidentally.},
author = {Zaremba, Stanisław K.},
date-added = {2021-03-20 09:29:43 -0500},
date-modified = {2021-03-20 09:29:43 -0500},
doi = {10.1007/BF02415091},
journal = {Annali di Matematica Pura ed Applicata},
number = {1},
pages = {293--317},
title = {Good lattice points, discrepancy, and numerical integration},
volume = {73},
year = {1966},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF02415091}}
@article{z-rlgfn-70,
author = {Zaremba, Stanisław K.},
date-added = {2021-03-20 09:29:43 -0500},
date-modified = {2021-03-20 09:29:43 -0500},
journal = {Fibonacci Quarterly},
number = {2},
pages = {185--198},
title = {A remarkable lattice generated by {Fibonacci} numbers},
url = {http://www.fq.math.ca/8-2.html},
volume = {8},
year = {1970},
Bdsk-Url-1 = {http://www.fq.math.ca/8-2.html}}
@incollection{p-pg-78,
author = {Parsons, Torrence D.},
booktitle = {Theory and Applications of Graphs},
date-added = {2021-03-20 09:29:43 -0500},
date-modified = {2021-03-20 09:29:43 -0500},
doi = {doi.org/10.1007/BFb0070400},
editor = {Alavi, Yousef and Lick, Don R.},
pages = {426--441},
publisher = {Springer},
series = {Lecture Notes in Mathematics},
title = {Pursuit-evasion in a graph},
volume = {642},
year = {1978},
Bdsk-Url-1 = {https://doi.org/10.1007/BFb0070400}}
@book{b-gs-1325,
author = {Bradwardine, Thomas},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
note = {English translation and commentary in \cite{m-tbgsl-89}},
read = {1},
title = {Geometria speculativa},
year = {c. 1325}}
@book{d-umzr-1525,
address = {Nuremburg},
author = {Dürer, Albrecht},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
note = {English translation and commentary in \cite{s-pmad-77}},
publisher = {Hieronymus Formschneyder},
read = {1},
title = {Underweysung der Messung, mit dem Zirckel und Richtscheyt, in Linien ebnen unnd gantzen Corporen},
year = {1525}}
@book{d-se-1630,
author = {Descartes, René},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
note = {Transcribed by Gottfried Leibniz, 1676. \emph{Ouvres de Descartes} X:265--277, 1908. Corrigenda in \emph{Ouvres de Descartes} XI:690--692, 1909. Reprinted by Vrin, Paris, 1996.},
publisher = {Unpublished manuscript},
read = {1},
title = {Progymnasmata de solidorum elementis},
year = {c. 1630}}
@book{v-nms-1725,
address = {Paris},
author = {Varignon, Pierre},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
publisher = {Claude Jombert},
title = {Nouvelle mechanique ou statique, dont le projet fut donné en M.DC.LXXVII},
url = {https://gallica.bnf.fr/ark:/12148/bpt6k5652714w.texteImage},
year = {1725},
Bdsk-Url-1 = {https://gallica.bnf.fr/ark:/12148/bpt6k5652714w.texteImage}}
@article{e-spgsp-1741,
author = {Euler, Leonhard},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Commentarii academiae scientiarum Petropolitanae},
keywords = {Bridges of Königsburg},
note = {Presented to the St. Petersburg Academy on August 26, 1735. \emph{Opera Omnia} I.7:1--10},
pages = {128--140},
read = {1},
title = {Solutio problematis ad geometriam situs pertinentis},
url = {http://www.eulerarchive.com/pages/E053.html},
volume = {8},
year = {1741},
Bdsk-Url-1 = {http://math.dartmouth.edu/~euler/pages/E053.html}}
@misc{e-lcg-1750,
author = {Euler, Leonhard},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
howpublished = {Letter to Christian Goldbach},
month = {November 14,},
note = {Published as Lettre {CXXXV} [théorèmes de stéréométrie], \textit{Correspondance mathématique et physique de quelques célèbres géomètres du XVIIIème siècle}, 536--539, 1843. To appear in \emph{Opera Omnia} IV-A.4},
read = {1},
url = {http://eulerarchive.maa.org/correspondence/letters/OO0863.pdf},
year = {1750},
Bdsk-Url-1 = {http://eulerarchive.maa.org/correspondence/letters/OO0863.pdf}}
@book{b-eum-54,
address = {Rome},
author = {Boscovich, Ruggiero Giuseppe},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
title = {Elementorum Universæ Matheseos},
year = {1754}}
@article{e-dnips-1758,
author = {Euler, Leonhard},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Novi Commentarii academiae scientiarum Petropolitanae},
note = {Presented to the St. Petersburg Academy on April 6, 1752. \emph{Opera Omnia} I.26:94--108},
pages = {140--160},
read = {1},
title = {Demonstratio nonnullarum insignium proprietatum, quibus solida hedris planis inclusa sunt praedita},
url = {http://www.eulerarchive.com/pages/E231.html},
volume = {4},
year = {1758},
Bdsk-Url-1 = {http://math.dartmouth.edu/~euler/pages/E231.html}}
@article{e-eds-1758,
author = {Euler, Leonhard},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Novi Commentarii academiae scientiarum Petropolitanae},
note = {Presented to the Berlin Academy on November 26, 1750. \emph{Opera Omnia} I.26:71--93},
pages = {109--140},
read = {1},
title = {Elementa doctrinae solidorum},
url = {http://www.eulerarchive.com/pages/E230.html},
volume = {4},
year = {1758},
Bdsk-Url-1 = {http://math.dartmouth.edu/~euler/pages/E230.html}}
@book{k-lgm-1768,
address = {Griefswald},
author = {Karsten, Wenceslaus Johann Gustav},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
keywords = {Euler's formula (Chapter XXV)},
note = {2nd edition, 1786},
publisher = {Anton Ferdinand Röse},
read = {1},
title = {Lehrbegrif der gesamten Mathematik},
volume = {2},
year = {1768}}
@article{k-alvg1-1768,
author = {Karsten, Wenceslaus Johann Gustav},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Abh. Churfürstlich-Baierischen Akad. Wiss.},
pages = {3--110},
read = {1},
title = {Abhandlung von den {Logarithmen} verneinter {Grössen}, 1. {Abtheilung}},
volume = {5},
year = {1768}}
@article{m-ggfpi-1769,
author = {Meister, Albrecht Ludwig Friedrich},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Novi Commentarii Soc. Reg. Scient. Gott.},
note = {Presented January 6, 1770.},
pages = {144--180 + 9 plates},
read = {1},
title = {Generalia de genesi figurarum planarum, et inde pendentibus earum affectionibus},
volume = {1},
year = {1769/1770}}
@book{l-rmctf-1782,
author = {l'Huillier, Simon Antoine Jean},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
publisher = {Versaviae},
read = {1},
title = {De relatione mutua capacitatis et terminorum figurarum, geometrice considerata: seu de maximis et minimis, pars prior, elementaris},
year = {1782}}
@article{k-cpdli-1783,
author = {Kästner, Abraham Gotthelf},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Commentationes Mathematicae (Soc. Reg. Scient. Gott.)},
note = {Presented May 24, 1783},
pages = {3--51 + 2 plates},
read = {1},
title = {De corporibus polyedris data lege irregularibus},
volume = {6},
year = {1783/1784}}
@article{k-sscsi-1784,
author = {Kästner, Abraham Gotthelf},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Commentationes Mathematicae (Soc. Reg. Scient. Gott.)},
note = {Presented January 24, 1784},
pages = {52--100 + 2 plates},
read = {1},
title = {De sectionibus solidorum, crystallorum structuram illustrantibus},
volume = {6},
year = {1783/1784}}
@article{m-csgce-1785,
author = {Meister, Albrecht Ludwig Friedrich},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Commentationes Mathematicae (Soc. Reg. Scient. Gott.)},
note = {Presented October 1, 1875},
pages = {3--74 + 2 plates},
read = {1},
title = {Commentatio de solidis geometricis pro cognoscenda eorum indole in certos ordines et versus disponendis},
volume = {7},
year = {1784/1785}}
@book{l-eg-1794,
address = {Paris},
author = {Legendre, Adrien-Marie},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
publisher = {F. Didot},
title = {Éléments de géométrie},
year = {1794}}
@book{h-sga-1807,
address = {Berlin},
author = {Hirsch, Meier},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
keywords = {Euler's formula (p. 93) by spherical angles},
publisher = {Heinrich Frölich},
read = {1},
title = {Sammlung geometrische Aufgaben},
volume = {2},
year = {1807}}
@article{db-elpcn-1808,
author = {Dupuis-Torcy and Brisson, Barnabé},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. École Polytechnique},
number = {7},
pages = {262--288},
read = {1},
title = {Essais sur l'Art de projeter les Canaux de navigation},
volume = {14},
year = {1808}}
@article{p-mpp-1810,
author = {Poinsot, Louis},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. École Polytechnique},
pages = {16--48},
read = {1},
title = {Mémoire sur les polygones et les polyèdres},
volume = {10},
year = {1810}}
@article{l-ditfe-1811,
author = {l'Huillier, Simon Antoine Jean},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Mémoires de l'Académie Impériale des Sciences de Saint-Petersbourg},
pages = {271--301},
read = {1},
title = {Démonstration immédiate d'un théorème fondamental {d'Euler} sur les polyhèdres, et exception dont ce théorème est susceptible},
volume = {4},
year = {1811}}
@article{c-rp-1813,
author = {Cauchy, Augustin L.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. École Polytechnique},
note = {Presented February 1811. \textit{Œuvres Complètes}, IIe Sèrie 1:7--25, 1905.},
number = {16},
pages = {68--86},
read = {1},
title = {Recherches sur les polyèdres},
volume = {9},
year = {1813}}
@article{l-mpcdd-1813,
author = {l'Huillier, Simon Antoine Jean},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Annales de Mathématiques Pures et Appliquées [Annales de Gergonne]},
note = {Summarized by Joseph Diaz Gergonne},
pages = {169--189},
read = {1},
title = {Mémoire sur la polyédrométrie contenant une démonstration directe du théorème {d'Euler} sur les polyédres, et un examen des diverses exceptions auxquelles ce théorème est assujetti},
volume = {3},
year = {1813}}
@article{c-spp-1813,
author = {Cauchy, Augustin L.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. École Polytechnique},
note = {Presented January 20, 1812. \textit{Œuvres Complètes}, IIe Sèrie 1:26--38, 1905.},
number = {16},
pages = {87--98},
read = {1},
title = {{II.$^e$} Mémoire sur les polygones et les polyèdres},
volume = {9},
year = {1813}}
@book{b-dprcc-1817,
author = {Bolzano, Bernard},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
note = {English translations in \cite[pp.~A491--A596]{r-mwbbp-80} and \cite[pp.~279--344]{r-mwbb-05}},
publisher = {Paul Guthoff Kummer},
title = {Die drey Probleme der Rectification, der Complanation und der Cubirung, ohne Betrachtung des unendlich Kleinen, ohne die Annahmen des Archimedes und ohne irgend eine nicht streng erweisliche Voraussetzung gelöst; zugleich als Probe einer gänzlichen Umstaltung der Raumwissenschaft, allen Mathematikern zur Prüfung vorgelegt},
year = {1817}}
@article{r-urgkd-1825,
author = {Rothe, Heinrich August},
comments = {Euler's formula for UNIFORM convex polyhedra (all verts equal degree; all faces equal degree) via spherical angles},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Archiv für die gesammte Naturlehre},
number = {3},
pages = {257--300},
read = {1},
title = {Über die regulären geometrischen {Körper}, die daraus entstehend {Rhomboidalkörper} und insbesondere über {Rhomboialtriakontaeder}},
volume = {4},
year = {1825}}
@article{o-bufbg-1826,
author = {Olivier, Louis},
comments = {Reprints two of Cauchy's "proofs" of Euler's formula},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. Reine Angew. Math.},
number = {1},
pages = {227--231},
read = {1},
title = {Bemerkungen über {Figuren}, die aus beliebigen, von geraden {Linien} umschlossenen {Figuren} zusammengesetzt sind},
volume = {1826},
year = {1826}}
@article{s-lbess-1826,
author = {Steiner, Jacob},
comments = {Proof of Euler's formula by angle summation},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. Reine Angew. Math.},
number = {1},
pages = {364--367},
read = {1},
title = {Leichter {Beweis} eines stereometrischen {Satzes} {Euler}, nebst einem {Zusatze} zu {Satz} {X.} {S.} 48 im 1. {Heft} dieses {Journals}},
volume = {1826},
year = {1826}}
@article{g-ebceg-1827,
author = {Grunert, Johann August},
comments = {Shelling proof without shelling},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. Reine Angew. Math.},
number = {2},
pages = {367},
read = {1},
title = {Einfacher {Beweis} der von {Cauchy} und {Euler} gefundenen {Sätze} von {Figurennetzen} und {Polyëdern}},
volume = {1827},
year = {1827}}
@article{a-ddpgd-1829,
author = {Abel, Niels Henrik},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. Reine Angew. Math.},
note = {\emph{Oeuvres Complètes} 1:515--517.},
pages = {200--201},
read = {1},
title = {Démonstration d'une propriété générale d'une certaine classe de fonctions transcendantes},
volume = {4},
year = {1829}}
@book{b-esgni-1829,
address = {Paris},
author = {Brisson, Barnabé},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
publisher = {Carilian Gœury},
read = {1},
title = {Essai sur le système général de navigation intérieure de la France: Essai sur l'art de projeter les canaux a point de partage, par MM. Dupuis de Torcy et B. Brisson},
year = {1829}}
@article{d-fa2-1841,
author = {{De Morgan}, Augustus},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Trans. Cambridge Phil. Soc.},
keywords = {complex numbers},
note = {Read November 29, 1841.},
number = {3},
pages = {287--300},
read = {1},
title = {On the Foundations of Algebra, {No.~II}},
volume = {7},
year = {1837--42}}
@misc{b-ae-1840,
author = {Bolzano, Bernard},
comments = {Supposedly to appear in \textit{Bernard Bolzano-Gesamtausgabe~II} A(11.2), in preparation.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
howpublished = {Unpublished manuscript},
note = {Published posthumously in \cite{v-bbae-67}.},
title = {Anti-{Euklid}},
year = {c. 1840}}
@article{a-mpgdc-1841,
author = {Abel, Niels Henrik},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Mémoires des l'Academie des Science de Paris},
note = {Submitted October 20, 1826. \emph{Oeuvres Complétes} 1:145--211.},
pages = {176--264},
title = {Mémoire sur une propriété générale d'une classe très étendue de fonctions transcendantes},
volume = {7},
year = {1841}}
@misc{b-gbjkn-1843,
author = {Bolzano, Bernard},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
howpublished = {Unpublished notes},
note = {\textit{Bernard Bolzano-Gesamtausgabe~II} A(11.1):151--169, 2001},
title = {Geometrische {Begriffe}, die {Jeder} kennt und nicht kennt. {Versuch} einer {Erhebung} derselben ins deutliche {Bewusstseyn}},
year = {c. 1843}}
@book{vs-bg-1847,
address = {Nürnberg},
author = {von Staudt, Karl Georg Christian},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
publisher = {Verlag von Bauer and Rapse (Julius Merz)},
read = {1},
title = {Geometrie der {Lage}},
year = {1847}}
@article{l-vt-1847,
author = {Listing, Johann Benedict},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Göttinger Studien},
note = {Republished by Vandenhoeck und Reprecht, Göttingen, 1848},
pages = {811--875},
read = {1},
title = {Vorstudien zur Topologie},
volume = {1},
year = {1847}}
@book{g-gagle-47,
author = {Grassmann, Hermann},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
publisher = {Weidmann'sche Buchhandlung},
title = {Geometrische {Analyse} geknüpft an die von {Leibniz} erfundene geometrische {Charakteristik}},
year = {1847}}
@article{k-uagwu-1847,
author = {Kirchhoff, Gustav},
comments = {Figures missing from online electronic version},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
doi = {10.1002/andp.18471481202},
journal = {Annalen der Physik und Chemie},
keywords = {matrix-tree theorem},
note = {English translation in \cite{k-seoil-58}.},
number = {4},
pages = {497--508},
read = {1},
title = {Über die {Auflösung} der {Gleichungen}, auf welche man bei der {Untersuchung} der linearen {Verteilung} galvanischer {Ströme} geführt wird},
volume = {72},
year = {1847},
Bdsk-Url-1 = {https://doi.org/10.1002/andp.18471481202}}
@article{b-tgs-1849,
author = {Bonnet, [Pierre] Ossian},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {J. École Polytechnique},
pages = {1--146},
read = {1},
title = {La théorie générale des surfaces},
volume = {32},
year = {1849}}
@incollection{l-lch-1679,
author = {Leibniz, Gottfried Wilhelm},
booktitle = {Leibnizens mathematische Schriften},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
editor = {Gerhardt, Carl Immanuel},
note = {Originally written {September} 8, 1679},
pages = {17--25},
publisher = {A. Asher \& Company},
read = {1},
title = {Leibniz an {Hugens}},
volume = {1(2)},
year = {1850}}
@article{b-spgpc-1852,
author = {de Saint-Venant, Adhémar Jean Claude Barré},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Bull. Soc. Philomath. Paris},
pages = {24--32},
title = {Surfaces à plus grande pente constituées sur des lignes courbes},
year = {1852}}
@article{s-gda-1852,
author = {de Saint-Venant, Adhémar-Jean-Claude Barré},
comments = {lines of steepest descent/ascent, incorrect},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Extraits des Procès-Verbaux des Séances Soc. Phil. Paris},
month = {6 mars},
pages = {24--29},
read = {1},
title = {Extrait de la séance du "6 mars 1852". {Géométrie} descriptive et analytique. {Communication} de {M. A.-J.-C. Barré de Saint-Venant} sur les surfaces à plus grande pente constantes, ainsi que sur les lignes courbes parallèles, sur celles qu'on peut appeler anti-parallèles et sur les lignes de faîte et de thalweg des surfaces courbes en général},
year = {1852}}
@article{k-rp-1854,
author = {Kirkman, Thomas P.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Proc. Royal Soc. London},
note = {Received August 6, 1855},
pages = {543--544},
read = {1},
title = {On the representation of polyhedra},
volume = {7},
year = {1854--55}}
@article{k-exhxf-1855,
author = {Kirkman, Thomas P.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Proc. Royal Soc. London},
pages = {482--485},
read = {1},
title = {On the enumeration of $x$-edra having an $(x-1)$-gonal face, and all their summits triedral},
volume = {7},
year = {1854--55}}
@article{b-nslft-1854,
author = {{Breton de Champ}, Paul Émile},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {C. R. Acad. Sci. Paris},
pages = {647--648},
title = {Note sure les lignes de faîte et de thalweg},
volume = {39},
year = {1854}}
@article{f-tm-1854,
author = {Guthrie?], {“F. G.” [Francis}},
comments = {four-color theorem},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {The Athenæum},
month = {June 10,},
note = {Cited in \cite{m-nhfc-12}},
pages = {726},
title = {Tinting Maps},
volume = {1389},
year = {1854}}
@article{k-rep-1855,
author = {Kirkman, Thomas P.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Memoirs Lit. Phil. Soc. Manchester},
note = {Cited in \cite{k-ap-1857}},
pages = {47--70},
title = {On the representation and enumeration of polyhedra},
volume = {12},
year = {1855}}
@article{h-mrsru-1856,
author = {Hamilton, William Rowan},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Phil. Mag. (Ser. 4)},
note = {Reprinted in \cite[p.~610]{hi-mpwrh-67}},
pages = {446},
read = {1},
title = {Memorandum respecting a new System of Roots of Unity},
volume = {12},
year = {1856}}
@article{k-rp-1856,
author = {Kirkman, Thomas P.},
comments = {Not "polyhedra"; see last paragraph.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Phil. Trans. Royal Soc. London},
pages = {413--418},
read = {1},
title = {On the representation of polyedra},
volume = {146},
year = {1856}}
@misc{h-ljg-1856,
author = {Hamilton, William Rowan},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
howpublished = {Letter to John T. Graves (on the Icosian)},
month = {October 17,},
note = {Published in \cite[pp.~612--265]{hi-mpwrh-67}.},
year = {1856}}
@article{c-app-1857,
author = {Cayley, Arthur},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Phil. Trans. Royal Soc. London},
note = {Incorporated as an extended footnote in \cite{k-ap-1857}.},
pages = {183--185},
read = {1},
title = {On the Analytic Problem of the Polyedra},
volume = {147},
year = {1857}}
@article{k-ap-1857,
author = {Kirkman, Thomas P.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:09 -0500},
journal = {Phil. Trans. Royal Soc. London},
pages = {183--215},
read = {1},
title = {On Autopolar Polyedra},
volume = {147},
year = {1857}}
@article{h-aig-1857,
author = {Hamilton, William Rowan},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Proc. Royal Irish Acad.},
number = {415--416},
title = {Account of the {Icosian} {Game}},
volume = {6},
year = {1857}}
@article{r-taf-1857,
author = {Riemann, Bernhard},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {J. Reine Angew. Math.},
pages = {115--155},
read = {1},
title = {Theorie der {Abel'schen} {Functionen}},
volume = {54},
year = {1857}}
@article{r-ddpgs-1858,
author = {Reech, Ferdinand},
comments = {min-saddle+max=2 for spheres},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {J. École Polytechnique},
pages = {169--178},
read = {1},
title = {Démonstration d'une propriété général des surfaces fermées},
volume = {37},
year = {1858}}
@article{h-aic-1858,
author = {Hamilton, William Rowan},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Proc. Royal Irish Acad.},
pages = {415--416},
read = {1},
title = {Account of the {Icosian} {Calculus}},
volume = {6},
year = {1858}}
@article{p-ntp-1858,
author = {Poinsot, Louis},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {C. R. Hebd. Séances Acad. Sci. Paris},
number = {2},
pages = {65--79},
read = {1},
title = {Note sur la théorie des polyèdres},
volume = {46},
year = {1858}}
@incollection{l-as-1693,
author = {Leibniz, Gottfried Wilhelm},
booktitle = {Leibnizens mathematische Schriften},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
editor = {Gerhardt, Carl Immanuel},
note = {Originally written c. 1693},
pages = {178--183},
publisher = {A. Asher \& Company},
read = {1},
title = {De Analysi Situs},
volume = {5},
year = {1858}}
@book{r-mam-58,
author = {Rankine, William John Macquorn},
comments = {pre-Maxwell "diagram of forces"},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
publisher = {Richard Griffin and Co.},
title = {A Manual of Applied Mechanics},
url = {https://archive.org/details/manualappmecha00rankrich},
year = {1858},
Bdsk-Url-1 = {https://archive.org/details/manualappmecha00rankrich}}
@book{f-oid-1859,
address = {Paris},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
editor = {{Foucher de Careil}, Louis Alexandre},
publisher = {Ladrange},
title = {Œuvres inédites de Descartes},
year = {1859}}
@booklet{h-ig-1859,
author = {Hamilton, William Rowan},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
howpublished = {Instruction pamphlet for game published by John Jacques and Sons},
title = {The {Icosian} {Game}},
year = {1859}}
@article{c-csl-1859,
author = {Cayley, Arthur},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Phil. Mag. (Series 5)},
number = {120},
pages = {264--268},
read = {1},
title = {On Contour and Slope Lines},
volume = {18},
year = {1859}}
@article{b-ueied-60,
author = {Borchardt, Carl W.},
comments = {http://eudml.org/doc/147779},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
doi = {10.1515/crll.1860.57.111},
journal = {J. Reine Angew. Math.},
keywords = {directed matrix-tree theorem},
pages = {111-121},
title = {Ueber eine der Interpolation entsprechende {Darstellung} der {Eliminations}-{Resultante}},
volume = {57},
year = {1860},
Bdsk-Url-1 = {https://doi.org/10.1515/crll.1860.57.111}}
@article{d-pdchc-60,
author = {{De Morgan [anonymous]}, Augustus},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {The Athenæum},
keywords = {four-color theorem},
month = {April 14,},
note = {Cited in \cite{m-nhfc-12,w-lfc-76}},
pages = {501--503},
title = {The Philosophy of Discovery, Chapters Historical and Critical},
volume = {1694},
year = {1860}}
@article{s-sliec-1861,
author = {Smith, Henry John Stephen},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Phil. Trans. Royal Soc. London},
pages = {293--326},
title = {On systems of linear indeterminate equations and congruences},
volume = {151},
year = {1861}}
@article{c-pc-1861,
author = {Cayley, Arthur},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Phil. Mag. (Ser. 5)},
pages = {424--428},
read = {1},
title = {On the partitions of a close},
volume = {21},
year = {1861}}
@article{l-crc-1861,
author = {Listing, Johann Benedict},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Abh. König. Ges. Wiss. Göttingen},
note = {Presented December 1861},
pages = {97--182},
read = {1},
title = {Der {Census} räumlicher {Complexe}, oder {Verallgemeinerung} des {Euler'schen} {Satzes} von den {Polyedern}},
volume = {10},
year = {1861}}
@article{m-tev-1863,
author = {Möbius, August F.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl.},
keywords = {surface classification},
note = {\textit{Gesammelte Werke} 2:433--471, Liepzig, 1886},
pages = {18--57},
read = {1},
title = {Theorie der elementaren {Verwandtschaft}},
volume = {17},
year = {1863}}
@book{w-uvv-1864,
author = {Wiener, Christian},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
publisher = {Teubner},
read = {1},
title = {Über Vielecke und Vielflache},
year = {1864}}
@article{c-uaafg-1864,
author = {Clebsch, Alfred},
comments = {first use of "genus"?},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {J. Reine Angew. Math.},
number = {3},
pages = {189--243},
read = {1},
title = {Über die {Anwendung} der {Abelschen} {Functionen} in der {Geometrie}},
volume = {63},
year = {1864}}
@article{c-decdc-1864,
author = {Clebsch, Alfred},
comments = {Called Riemann's paramater p the "genus" ("Geschlecht") of a curve},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {J. Reine Angew. Math.},
pages = {43--63},
read = {1},
title = {Ueber diejenigen ebenen {Curven}, deren {Coordinaten} rationale {Functionen} eines {Parameters} sind},
volume = {64},
year = {1864}}
@article{c-usac-1864,
author = {Clebsch, Alfred},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {J. Reine Angew. Math.},
pages = {98--100},
title = {Ueber die {Singularitäten} algebraischer {Curven}},
volume = {64},
year = {1864}}
@article{m-rfdf-64,
author = {Maxwell, James Clerk},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
doi = {10.1080/14786446408643663},
journal = {Phil. Mag. (Ser. 4)},
number = {182},
pages = {250--261},
title = {On reciprocal figures and diagrams of forces},
volume = {27},
year = {1864},
Bdsk-Url-1 = {https://doi.org/10.1080/14786446408643663}}
@article{r-pepf-64,
author = {Rankine, W. J. Macquorn},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
doi = {10.1080/14786446408643629},
journal = {London, Edinburgh, and Dublin Phil. Mag J. Sci.},
keywords = {Maxwell-Cremona},
number = {180},
pages = {92},
title = {Principle of the equilibrium of polyhedral frams},
volume = {27},
year = {1864},
Bdsk-Url-1 = {https://doi.org/10.1080/14786446408643629}}
@article{m-ubiep-1865,
author = {Möbius, August F.},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl.},
note = {\textit{Gesammelte Werke} 2:473--512, Liepzig, 1886},
pages = {31--68},
read = {1},
title = {Über der {Bestimmung} des {Inhaltes} eines {Polyëders}},
volume = {17},
year = {1865}}
@article{c-tpc-1865,
author = {Cayley, Arthur},
comments = {"unicursal"},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {Proc. London Math. Soc.},
note = {Read October 16, 1965. \emph{Mathematical Papers} VI, 1--8, 1893.},
number = {3},
pages = {1--11},
read = {1},
title = {On the transformation of plane curves},
volume = {1},
year = {1865--66}}
@article{j-rp-1866,
author = {Jordan, Camille},
date-added = {2021-03-20 09:27:09 -0500},
date-modified = {2021-03-20 09:27:10 -0500},
journal = {J. Reine Angew. Math.},
pages = {22--85},
read = {1},
title = {Recherches sur les polyèdres},
volume = {66},
year = {1866}}
@article{j-sds-1866,