# Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States

A.S. Barnes, 1885 - 512 pàgines

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Pàgina 28 - If two triangles have two sides of the one equal to two sides of the...
Pàgina 18 - Things which are equal to the same thing, are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal.
Pàgina 296 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 253 - For, the point A being the pole of the arc EF, the distance AE is a 'quadrant ; the point C being the pole of the arc DE, the distance CE is likewise a quadrant : hence the point E is...
Pàgina 61 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Pàgina 126 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Pàgina 46 - 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.
Pàgina 125 - THEOREM. Similar triangles are to each other as the squares of their homologous sides.