Elements of Geometry

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Hilliard and Metcalf, at the University Press, 1819 - 208 pagina's
 

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Pagina 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Pagina 7 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Pagina 151 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Pagina 76 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Pagina 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Pagina 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Pagina 160 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Pagina 203 - In every triangle the sum of the three angles is equal to two right angles.
Pagina 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Pagina 141 - If a pyramid is cut by a plane parallel to its base, the...

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