# Elements of Geometry

Butler, Sheldon & Company, 1897 - 398 σελίδες

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Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.

### Περιεχόμενα

 INTRODUCTION 13 BOOK I 19 BOOK II 74 BOOK III 88 Original Theorems 119 AREA AND RELATIONS OF POLYGONS 143 BOOK V 202
 SUPPLEMENT TO PLANE GEOMETRY 224 SOLID GEOMETRY 234 BOOK VII 269 Similar Polyhedrons 298 SPHERICAL GEOMETRY 339 BIOGRAPHICAL NOTES 393 Πνευματικά δικαιώματα

### Δημοφιλή αποσπάσματα

Σελίδα 327 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 88 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 80 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 207 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 10 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 152 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 392 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 39 - If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles.
Σελίδα 176 - If from, a point without a circle a secant and a tangent are drawn, the tangent is a mean proportional between the whole secant and the external segment.
Σελίδα 309 - Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles...