New Elementary Geometry: With Practical Applications; a Shorter Course, Upon the Basis of the Larger Work

R. S. Davis & Company, 1873 - 176 sider

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Side 23 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Side 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Side 61 - At a point in a given straight line to make an angle equal to a given angle.
Side 57 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Side 62 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Side 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let...
Side 100 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...
Side 88 - Similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.

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