Elements of Plane and Solid Geometry

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Ginn, Heath, & Company, 1885 - 398 páginas
 

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Página 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Página 50 - 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.
Página 202 - In any proportion, the product of the means is equal to the product of the extremes.
Página 190 - Two triangles having 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.
Página 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Página 203 - To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line.
Página 349 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Página 56 - The three perpendiculars from the vertices of a triangle to the opposite sides (produced if necessary) are called the altitudes...
Página 83 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.
Página 298 - COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude.

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