Chapter V. Inverse Figures 221
Exercises 227
Chapter VI. The Problem of Tangent Circles 231
Exercises 235
Chapter VII. Properties of Cyclic Quadilaterals.
Peaucellier’s Inverter 237
Exercises 244
Problems for the Complements to Book III 244
Book IV
On Areas 247
Chapter I. The Measure of Areas 249
Exercises 255
Chapter II. Comparison of Areas 259
Exercises 260
Alternative Proofs of the Theorem
on the Square of the Hypotenuse 262
Chapter III. Area of the Circle 263
Exercises 265
Chapter IV. Constructions 267
Exercises 268
Problems Proposed for Book IV 269
Note A:
On the Methods of Geometry 271
(a) Theorems to Prove 271
(b) Geometric Loci Construction Problems 278
(c) The Method of Transformations 281
Note B:
On Euclid’s Postulate 289
I 289
II 292
Note C:
On the Problem of Tangent Circles 297
Note D:
On the Notion of Area 303
Miscellaneous Problems . 309
Malfatti’s Problem 325
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