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ABC and DEF altitude axis base base and altitude called centre circle circumference coincide common cone construct COROLLARY corresponding cube cylinder DEFINITIONS diagram diameter diedral angle distance divided Draw drawn elements equal with respect equivalent face angles feet Find the volume follows formed frustum given greater Hence inches included inscribed intersection lateral edges lateral faces lateral surface less limit lune manner measure meet mutually equal opposite parallel planes parallelogram parallelopiped pass perpendicular plane MN polar triangle pole polyedral angle polygon prism PROPOSITION prove pyramid radii radius regular regular polyedrons represent respectively right angles right prism right section SCHOLIUM shown sides similar solid sphere spherical triangle squares straight line surface symmetrical termed THEOREM triangles ABC triedral vertex vertices volume wedge
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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'.
Σελίδα 46 - The lateral areas, or the total -areas, of two similar cones of revolution are to each other as the squares of their altitudes...
Σελίδα 6 - Theorem: If a straight line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane.
Σελίδα 9 - ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater.