Elements of Geometry

Harper & brothers, 1897 - 354 σελίδες

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Δημοφιλή αποσπάσματα

Σελίδα 170 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Σελίδα 204 - If a line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Σελίδα 106 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 5 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
Σελίδα 82 - An angle formed by a tangent and a chord is measured by one-half its intercepted arc.
Σελίδα 73 - A line perpendicular to a radius at its extremity is tangent to the circle.
Σελίδα 177 - C and area S. To PROVE S — ^RxC. Circumscribe a regular polygon and call its perimeter C' and area S'. Then S
Σελίδα 285 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Σελίδα 45 - If, from a point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle.
Σελίδα 83 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

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