# Elements of Geometry

Harper & brothers, 1897 - 354 σελίδες

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### Περιεχόμενα

 INTRODUCTION 3 PARALLEL LINES AND SYMMETRICAL FIGURES 15 TRIANGLES 30 PARALLELOGRAMS 53 BOOK II 62 MEASUREMENT 75 PROBLEMS OF DEMONSTRATION 87 PROBLEMS OF DEMONSTRATION 129
 POLYEDRAL ANGLES 215 PROBLEMS OF DEMONSTRATION 221 PYRAMIDS 243 SIMILAR POLYEDRONS 257 PROBLEMS OF CONSTRUCTION 264 THE SPHERE 272 SPHERICAL ANGLES 278 POLAR TRIANGLES 287

### Δημοφιλή αποσπάσματα

Σελίδα 102 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 286 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Σελίδα 173 - The area of a regular polygon is equal to onehalf the product of its apothem and perimeter.
Σελίδα 79 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Σελίδα 50 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 121 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 118 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Σελίδα 47 - Two oblique lines cutting off equal distances from the foot of the perpendicular are equal.
Σελίδα 314 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Σελίδα 135 - Any two rectangles are to each other as the products of their bases by their altitudes.