Reading 57: From In artem analyticen isagoge (The New Algebra)-François Viète
From The Analytic Art-François Viète, translated by T. Richard Witmer (on reserve), Chapter V, On the Rules of Zetetics
The following five readings are from The Analytic Art-François Viète, translated by T. Richard Witmer (on reserve)
From Ad Logisticem Speciosam Notae Priores (Preliminary Notes on Symbolic Logistic)-François Viète, Proposition I to Proposition XVI
•
From Ad Logisticem Speciosam Notae Priores (Preliminary Notes on Symbolic Logistic)-François Viète, Propositions XLVI, XLVIII, XLIX, L
•
From Zeteticorum Libri Quinque (Five Books of Zetetica), First Book, Zetetic I and Zetetic II, Fourth Book, Zetetic I
•
From De Aequationum Recognitione et Emendatione Tractatus Duo (Two Treatises on the Understanding and Amendment of Equations), De Emendatione Aequationum Tractatus Secundus (First Treatise: On Understanding Equations), Chapter VI, alternate Theorem III
•
From De Aequationum Recognitione et Emendatione Tractatus Duo (Two Treatises on the Understanding and Amendment of Equations), De Emendatione Aequationum Tractatus Secundus (Second Treatise:On the Amendment of Equations), Chapter I
Reading 62: From La Geometrie (Theory of Equations)-René Descartes
Reading 63: From
La Geometrie (The Principle of Nonhomogeneity)-René Descartes
Pages 204-207 of The Geometry of Rene Descartes, translated by Smith and Latham (Beginning with "Let us apply it...." and ending with "...are the required mean proportionals.") (book on reserve)
"On Analytic Geometry" (extract from Introduction aux Lieux Plans et Solides)-Pierre de Fermat, pages 389-396 in A Source Book in Mathematics, by David Eugene Smith (book on reserve)
Reading 72: From "A New method for Maxima and Minima as Well as Tangents, Which is
Impeded Neither by Fractional Nor by Irrational Quantities, and a Remarkable Type of Calculus
for This"-Gottfried Wilhelm Leibniz
Reading 73: From "Supplementum geometriae dimensoriae. . . " in Acta Eruditorum (The
Fundamental Theorem of Calculus)-Gottfried Wilhelm Leibniz
Reading 74: From Specimens of a Universal [System of] Mathematics-Isaac Newton
Reading 75: From a Letter to Henry Oldenburg on the Binomial Series (June 13, 1676)-Isaac
Newton
Reading 76: From a Letter to Henry Oldenburg on a General Method for Finding Quadratures
(October 24, 1676)-Isaac Newton
Reading 77: From Principia Mathematica (Prime and Ultimate Ratios: The Theory of Limits)-Isaac
Newton (stop after Corollary of Lemma IV and begin again on page 410 after it reads "[Text is omitted here.]". Then read to the end.)
Reading 78: From the Introduction to the Tractatus de quadratura curvarum-Isaac Newton
