Elements of Geometry and Trigonometry: With Notes

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Oliver & Boyd, 1822 - 367 oldal
 

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152. oldal - AMB be a section, made by a plane, in the sphere, whose centre is C. From the...
24. oldal - THEOREM. In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
22. oldal - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
62. oldal - Similar triangles are to each other as the squares of their homologous sides.
211. oldal - If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular.
187. oldal - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
140. oldal - AT into equal parts .Ax, xy, yz, &c., each less than Aa, and let k be one of those parts : through the points of division pass planes parallel to the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively equivalent, namely, DEF to def, GHI to ghi, &c.
150. oldal - The radius of a sphere is a straight line, drawn from the centre to any point...
168. oldal - THEOREM. The surface of a spherical triangle is measured by the excess of the sum of its three angles above two right angles, multiplied by the tri-rectangular triangle.
135. oldal - XII.) ; in like manner, the two solids AQ, AK, having the same base, AOLE, are to each other as their altitudes AD, A M.

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