Plane and Solid Geometry

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Macmillan, 1925 - Geometry - 480 pages

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Page 154 - In any proportion, the product of the means is equal to the product of the extremes.
Page 71 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Page 313 - MEASURE. 10 millimeters (mm.) = 1 centimeter (cm.) 10 centimeters = 1 decimeter (dm.) 10 decimeters = 1 meter (m.) 10 meters = 1 dekameter (Dm.) 10 dekameters = 1 hektometer (Hm.) 10 Hektometers = 1 kilometer (Km.) 10 kilometers = 1 myriameter (Mm.) 1 meter = 39.37 inches.
Page 183 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 364 - Two rectangular parallelopipeds are to each other as the products of their bases and their altitudes. Given M and N, two rectangular parallelopipeds, B and B' their bases, and a and a' their altitudes respectively.
Page 156 - If four quantities are in proportion, they are in proportion by alternation, ie the first term is to the third as the second is to the fourth.
Page 417 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Page 120 - ... both are tangent to the same straight line at the same point. They are tangent internally or externally, according as one circle lies within or without the other.
Page 403 - ABC, a section of the cone made by plane passing through vertex A. To prove ABC a triangle. Proof.
Page 84 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.

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