CONTENTS OF VOL II 
XU. ARISTARCHUS OF SAMOS pages 1-15 
XIII. ARCHIMEDES . 16-109 
Traditions 
(«) Astronomy 17-18 
(d) Mechanics 18 
Summary of main achievements 19-20 
Character of treatises 20-22 
List of works still extant 22-23 
Traces of lost works ... ■ • • • • 23-25 
The text of Archimedes ....... 25-27 
Contents of The Method ....... 27-34 
On the Sphere and Cylinder, I, II . . . . 84-50 
Cubic equation arising out of II. 4 .... 43-46 
(i) Archimedes’s own solution 45-46 
(ii) Dionysodorus’s solution ..... 46 
(iii) Diocles’s solution of original problem . . 47-49 
Measurement of a Circle ....... 50-56 
On fynoids and Spheroids ...... 56-64 
On Spirals ......... 64-75 
On Plane Equilibriums, I, II 75-81 
The Sand-reckoner (Psammites or Arenarius) . . . 81-85 
The Quadrature of the Parabola ..... 85-91 
On Floating Bodies, I, II . . . . . . . 91-97 
The problem of the crown ...... 92-94 
Other, works 
(a) The Cattle-Problem ...... 97-98 
(3) On semi-regular polyhedra ..... 98-101 
(y) The Liber Assumptorum ..... 101-103 
(8) Formula for area of triangle . . . . 103 
Eratosthenes 104-109 
Measurement of the Earth 106-108 
XIV. CONIC SECTIONS. APOLLONIUS OF PERGA . .110-196 
A. History of Conics up to Apollonius . . 110-126 
Discovery of the conic sections by Menaechmus . 110-111 
Menaechmus’s probable procedure . . . 111-116 
Works by Aristaeus and Euclid , . . 116-117 
‘ Solid loci ’ and ‘ solid problems ’ . . . 117-118 
Aristaeus’s Solid Loci ...... 118-119 
Focus-directrix property known to Euclid . . 119 
Proof from Pappus ...... 120-121 
Propositions included in Euclid’s Conics . . 121-122 
Conic sections in Archimedes .... 122-126