# The Elements of Geometry

J. Wiley & Sons, 1885 - 366 σελίδες

### Περιεχόμενα

 A statement implied 1 Individual terms defined 10 The classes x and nonx still con 16 A theorem defined 24 Inverses of theorem with composite 30 Geometry defined 34 Why space is called tridimensional 44 CHAPTER VI 48
 Inverses often proved geometrically 6 196 RATIO APPLIED 199 566 217 BOOK VIII 239 Rule of inversion 240 LINKAGE 243 Relations between the center 249 Chords and arcs 250

 Plane defined using motion 50 Conditions of congruence of 183186 55 Arc defined 56 Its sides defined 61 Straight angle defined 62 00 70 ARTICLE 95 ARTICLE 100 327 117 357 126 122124 144 Common chord 150 ARTICLE 152 12 157 The commutative law for rectangle 165 ARTICLE 169 Fundamental Geometric Proportions 183 ARTICLE 188 625 194
 ARTICLE 257 Perimeter of polygon 264 The line and its pole 272 Spherical excess defined 282 Descartes theorem 293 tion 295 Triangular prism 299 ARTICLE 310 PAGE 320 Cylinder 323 Zone 331 Equality of ratios defined 333 Volume and metric units 337 PAGE ARTICLE 343 PAGE 346 145147 359 186 187 363 Πνευματικά δικαιώματα

### 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 270 - BC with the same radius. Then a line through A touching this arc will be the required parallel. Or, use a straight edge and triangle.
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.