# The Elements of Geometry

Macmillan, 1886 - 366 σελίδες

### Περιεχόμενα

 THE ELEMENTS OF GEOMETRY 1 ARTICLE 13 A theorem defined 24 CHAPTER VII 30 Geometry defined 34 Why space is called tridimensional 44 Plane defined using motion 50 Arc defined 56
 436 159 BOOK V 169 ARTICLE 188 ARTICLE 213 BOOK VIII 239 Relations between the center 249 ARTICLE 257 PAGE 264

 Its sides defined 61 Straight angle defined 62 Parallelogram defined 70 Interior angle defined 81 ARTICLE 95 ARTICLE 100 320 321 117 Angles at the Center 128 12 132 Angles made by chords 138 Two Circles 144 ARTICLE 152
 732 272 Spherical excess defined 282 PAGE 293 Triangular prism 299 ARTICLE 310 MEASUREMENT OF SURFACES 318 Circular measure of 332 183 184 334 ARTICLE 338 Volume of any prismatoid 344 134138 358 186 187 363

### Δημοφιλή αποσπάσματα

Σελίδα 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.
Σελίδα 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.
Σελίδα 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 13 - An Acute Angle is one which is less than a right angle.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.