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### Innhold

 PAGE 1 The Universe of Discourse 7 THE PRIMARY CONCEPTS OF GEOMETRY 8 perigon 14 The classes x and nonx still con 16 Equilateral triangle defined 24 A plane figure defined 35 Circle and center defined 53
 BOOK III 115 Radius and apothem 162 BOOK V 169 BOOK 183 GEOMETRY OF THREE DIMENSIONS 213 BOOK VIII 239 defined 246 240 241 257

 Explement defined 59 CHAPTER VIII 61 Equivalence 64 Supplemental adjacent angles 12 Table of symbols used 65 BOOK 95
 Birectangular triangle 272 BOOK X 289 CHAPTER III 318 CHAPTER IV 332 prismatoids 342

### Populćre avsnitt

Side 44 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Side 112 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Side 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Side 190 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 101 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Side 266 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Side 13 - An Acute Angle is one which is less than a right angle.
Side 104 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Side 107 - In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either side and the projection on it of the other side.
Side 103 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.