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Loeb Classical Library: Greek Mathematical Works, Volume II Vol. II : Aristarchus to Pappus by Ivor Thomas (1941, Hardcover)
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Selections Illustrating the History of Greek Mathematics : Aristarchus to Pappus, Hardcover by Thomas, Ivor (TRN), ISBN 0674993993, ISBN-13 9780674993990, Brand New, Free shipping in the US Greek mathematics from the sixth century BCE to the fourth century CE is represented by the work of, ., Pythagoras; Proclus; Thales; Democritus; Hippocrates of Chios; Theaetetus; Plato; Eudoxus of Cnidus; Aristotle; Euclid; Eratosthenes; Apollonius; Ptolemy; Heron of Alexandria; Diophantus; and Pappus.
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About this product
Product Identifiers
PublisherHarvard University Press
ISBN-100674993993
ISBN-139780674993990
eBay Product ID (ePID)187406
Product Key Features
Number of Pages704 Pages
Publication NameGreek Mathematical Works, Volume II Vol. II : Aristarchus to Pappus
LanguageEnglish
Publication Year1941
SubjectHistory & Philosophy, Ancient / Greece, Ancient & Classical
FeaturesRevised
TypeTextbook
Subject AreaMathematics, Literary Criticism, History
AuthorIvor Thomas
SeriesLoeb Classical Library
FormatHardcover
Dimensions
Item Height1.5 in
Item Weight16.9 Oz
Item Length6.7 in
Item Width4.5 in
Additional Product Features
Intended AudienceTrade
Series Volume Number362
IllustratedYes
Volume NumberVol. 2
Table Of ContentXVI. Aristarchus Of Samos- (a) General (b) Distances of the sun and moon (c) Continued fractions (?) XVII. Archimedes- (a) General (b) Surface and volume of the cylinder and sphere (c) Solution of a cubic equation (d) Conoids and spheroids- (i) Preface (ii) Two lemmas (iii) Volume of a segment of a paraboloid of revolution (e) The spiral of Archimedes- (i) Definitions (ii) Fundamental property (iii) A verging (iv) Property of the subtangent (f) Semi-regular solids (g) System of expressing large numbers (h) Indeterminate analysis : the Cattle Problem (i) Mechanics : centres of gravity- (i) Postulates (ii) Principle of the lever (iii) Centre of gravity of a parallelogram (j) Mechanical method in geometry (£) Hydrostatics- (i) Postulates (ii) Surface of fluid at rest (iii) Solid immersed in a fluid (iv) Stability of a paraboloid of revolution XVIII. Eratosthenes- (a) General (b) On means (c) The Platonicus (d) Measurement of the earth XIX. Apollonius of Perga- (a) The conic sections- (i) Relation to previous works (ii) Scope of the work (iii) Definitions (iv) Construction of the sections (v) Fundamental properties (vi) Transition to new diameter (b) Other works- (i) General (ii) On the Cutting-off of a Ratio. (iii) On the Cutting-off of an Area (iv) On Determinate Section. (v) On Tangencies (vi) On Plane Loci (vii) On Vergings (viii) On the dodecahedron and the icosahedron (ix) Principles of mathematics (x) On the Cochlias (xi) On unordered irrationals (xii) Measurement of a circle (xiii) Continued multiplications (xiv) On the Burning Mirror XX. Later Developments In Geometry-• (a) Classification of curves (b) Attempts to prove the parallel postulate- (i) General (ii) Posidonius and Geminus (iii) Ptolemy (iv) Proclus (c) Isoperimetric figures (d) Division of zodiac circle into 360 parts: Hypsicles (e) Handbooks- (i) Cleomedes (ii) Theon of Smyrna XXI. Trigonometry- 1. Hipparchus and Menelaus 2. Ptolemy- (a) General (b) Table of sines- (i) Introduction (ii) sin 18\degree\and sin 36\degree\ (iii) sin\sup\2\theta\+ cos\sup\2\theta\=1 (iv) Ptolemy's theorem (v) sin (\theta\-\phi\) = sin\theta\cos\phi\-cos\theta\sin\phi\ (vi) Sin\sup\2 1/2\theta\= 1/2(l -COS\theta\). (vii) cos (\theta\+\phi\) = cos\theta\cos\phi\-sin\theta\sin\phi\ (viii) Method of interpolation (ix) The table (c) Menelaus's theorem- (i) Lemmas (ii) The theorem XXII. Mensuration : Heron Op Alexandria- (a) Definitions (b) Measurement of areas and volumes-
Edition DescriptionRevised edition
SynopsisThe wonderful achievement of Greek mathematics is here illustrated in two volumes of selected mathematical works. Volume I ( Loeb Classical Library no. 335 ) contains: The divisions of mathematics; mathematics in Greek education; calculation; arithmetical notation and operations, including square root and cube root; Pythagorean arithmetic, including properties of numbers; square root of 2; proportion and means; algebraic equations; Proclus; Thales; Pythagorean geometry; Democritus; Hippocrates of Chios; duplicating the cube and squaring the circle; trisecting angles; Theaetetus; Plato; Eudoxus of Cnidus (pyramid, cone); Aristotle (the infinite, the lever); Euclid. Volume II contains: Aristarchus (distances of sun and moon); Archimedes (cylinder, sphere, cubic equations; conoids; spheroids; spiral; expression of large numbers; mechanics; hydrostatics); Eratosthenes (measurement of the earth); Apollonius (conic sections and other works); later development of geometry; trigonometry (including Ptolemy's table of sines); mensuration: Heron of Alexandria; algebra: Diophantus (determinate and indeterminate equations); the revival of geometry: Pappus., Greek mathematics from the sixth century BC to the fourth century AD is represented by works of Pythagoras, Proclus, Thales, Democritus, Hippocrates of Chios, Theaetetus, Plato, Eudoxus of Cnidus, Aristotle, Euclid, Eratosthenes, Apollonius, Ptolemy, Heron of Alexandria, Diophantus, and Pappus., Elemental learning. The splendid achievement of Greek mathematics is here illustrated in two volumes of selected mathematical works. Volume I (LCL 335) contains the divisions of mathematics; mathematics in Greek education; calculation; arithmetical notation and operations, including square root and cube root; Pythagorean arithmetic, including properties of numbers; the square root of 2; proportion and means; algebraic equations; Proclus; Thales; Pythagorean geometry; Democritus; Hippocrates of Chios; duplicating the cube and squaring the circle; trisecting angles; Theaetetus; Plato; Eudoxus of Cnidus (pyramid, cone); Aristotle (the infinite, the lever); Euclid. Volume II (LCL 362) contains Aristarchus (distances of sun and moon); Archimedes (cylinder, sphere, cubic equations; conoids; spheroids; spiral; expression of large numbers; mechanics; hydrostatics); Eratosthenes (measurement of the earth); Apollonius (conic sections and other works); later development of geometry; trigonometry (including Ptolemy's table of sines); mensuration: Heron of Alexandria (mensuration); Diophantus (algebra, determinate and indeterminate equations); Pappus (the revival of geometry).
