XIV. CONTINUED.
B. Apollonius of Pekga .... pages 126-196
The text of the Conics ...... 126-128
Apollonius’s own account of the Conics . . . 128-183
Extent of claim to originality .... 132-133
Great generality of treatment .... 133
Analysis of the Conics 133-175
Book I 133-148
Conics obtained in the most general way from
oblique cone 134-138
New names, ‘ parabola ‘ ellipse ‘ hyperbola’ . 138-139
Fundamental properties equivalent to Cartesian
equations ........ 139-141
Transition to new diameter and tangent at its
extremity 141-147
First appearance of principal axes . . . 147-148
Book II 148-150
Book III 150-157
Book IV 157-158
Book V 158-167
Normals as maxima and minima .... 159-163
Number of normals from a point .... 163-164
Propositions leading immediately to determination
of evolute of conic 164-166
Construction of normals ..... 166-167
Book VI 167-168
Book VII . . 168-174
Other works by Apollonius . • . . . . 175-194
(а) On the Cutting off of a Ratio (Xóyou (nroroprj),
two Books 175-179
(/3) On the Cutting-off of an Area (ycoptou àiroTopi]),
two Books ....... 179-180
(y) On Determinate Section {òuopiapévr] Topi)), two
Books 180-181
(б) On Contacts or Tangencies (eVa^at), two Books . 181-185
(e) Plane Loci, two Books ..... 185-189
(£) Neiffeis (Vergings or Inclinations), two Books . 189-192
(rj) Comparison of dodecahedron with icosahedron , 192
(0) General Treatise 192-193
(t) On the Cochlias ....... 193
(k) On Unordered Irrationals . . . . . 193
(X) On the Burning-mirror . . . . . 194
(/r) 'SÌKVTÓKIOV ........ 194
Astronomy 195-196
XV. THE SUCCESSORS OF THE GREAT GEOMETERS . 197-234
Nicomedes 199
Diodes .......... 200—203
Perseus ■ 203-206
Isoperimetric figures. Zenodorus 206—213
Hypsicles 213—218
Dionysodorus .218-219
Posidonius ......... 219—222