Cornell University Library Historical Math Monographs

Theories of parallelism: an historical critique

William Barret Frankland

Cambridge: University Press, 1910.
xviii, 70 p., 1 l.

Subjects:

Parallels (Geometry)
Permanent link to this monograph: http://projecteuclid.org/euclid.chmm/1263311680
ISBN:1-4297-0494-2

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Miscellaneous front pages

vi

Apology

Contents

ix-x

Introduction

xi-xviii

Theories of parallelism

B.C. 300 Euclid

1-4

B.C. 80 Posidonius

4

B.C. 70 Geminus (? Aganis)

5-6

A.D. 150 Ptolemy

6-7

A.D. 450 Proclus

7-10

A.D. 900 Anaritius (an-Nairizi)

10

A.D. 1000 Gerbert (Pope Sylvester II)

10-11

A.D. 1250 Nasreddin (Nasiraddin at-Tusi)

11-12

A.D. 1570 Billingsley

12

A.D. 1574 Clavius

13

A.D. 1604 Oliver

14

A.D. 1621 Savile

15

A.D. 1654 Tacquet

15-16

A.D. 1655 Hobbes

16-17

A.D. 1663 Wallis

17-18

A.D. 1679 Leibniz

19

A.D. 1680 da Bitonto

19

A.D. 1733 Saccheri

20-23

A.D. 1756 Simson

23-24

A.D. 1766 Lambert

24-26

A.D. 1778 Bertrand

26-30

A.D. 1795 Playfair

30-31

A.D. 1796 Laplace

31-32

A.D. 1799 Gauss

32-35

A.D. 1803 Carnot

35

A.D. 1804 W. Bolyai

36

A.D. 1809 Thibaut

37

A.D. 1825 Taurinus

37-39

A.D. 1832 J. Bolyai

39-40

A.D. 1833 Legendre

40-42

A.D. 1840 Lobachewski

42-44

A.D. 1844 Meikle

44-45

A.D. 1850 Bouniakowski

45-46

A.D. 1854 Riemann

46-47

A.D. 1859 Cayley

47

A.D. 1866 von Helmholtz

47

A.D. 1868 Beltrami

48

A.D. 1870 Clifford

48-49

A.D. 1871 Klein

49-50

A.D. 1877 Newcomb

50-51

A.D. 1895 Dodgson

52

First additional note: Analytical geometry for the metabolic hypotheses

53-61

Second additional note: Planetary motion for the metabolic hypotheses

62-69

Postscript

70

Miscellaneous back pages

Cornell University Library Historical Math Monographs

Cornell University Library Historical Math Monographs