The Elements of Solid Geometry

الغلاف الأمامي
Leach, Shewell & Sanborn, 1893 - 95 من الصفحات
 

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الصفحة 48 - 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...
الصفحة 46 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
الصفحة 4 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
الصفحة 49 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
الصفحة 94 - Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas = sas). Hyp. In A ABC and A'B'C', AB = A'B', BC = B'C', and Z B = Z B'.
الصفحة 46 - The lateral areas, or the total -areas, of two similar cones of revolution are to each other as the squares of their altitudes...
الصفحة 6 - Theorem: If a straight line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane.
الصفحة 9 - ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater.
الصفحة 56 - A spherical angle is measured by the arc of a great circle described from its vertex as a pole, and included between its sides, produced if necessary.

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