Elements of Geometry and Conic SectionsHarper, 1858 - 234 páginas |
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Página 127
... prism ; the other faces taken together form the lateral or convex surface . The alti- tude of a prism is the perpendicular distance between its two bases . The edges which join the corresponding angles of the two polygons are called the ...
... prism ; the other faces taken together form the lateral or convex surface . The alti- tude of a prism is the perpendicular distance between its two bases . The edges which join the corresponding angles of the two polygons are called the ...
Página 128
... prism is equal to the pe- rimeter of its base multiplied by its altitude . Let ABCDE - K be a right prism ; then will its convex surface be equal to the perimeter . of the base of AB + BC + CD + DE + EA multi - F plied by its altitude ...
... prism is equal to the pe- rimeter of its base multiplied by its altitude . Let ABCDE - K be a right prism ; then will its convex surface be equal to the perimeter . of the base of AB + BC + CD + DE + EA multi - F plied by its altitude ...
Página 129
... prism , the sections formed by parallel planes are equal polygons . Let the prism LP be cut by the parallel planes AC , FH ; then will the sections ABC DE , FGHIK , be equal polygons ... prism AI be applied to the prism ai. BOOK VIII . 129.
... prism , the sections formed by parallel planes are equal polygons . Let the prism LP be cut by the parallel planes AC , FH ; then will the sections ABC DE , FGHIK , be equal polygons ... prism AI be applied to the prism ai. BOOK VIII . 129.
Página 130
Elias Loomis. Let the prism AI be applied to the prism ai , so that the equal bases AD and ad may coincide , the ... prisms coincide throughout , and are equal to each other . Therefore , two prisms , & c . Cor . Two right prisms , which ...
Elias Loomis. Let the prism AI be applied to the prism ai , so that the equal bases AD and ad may coincide , the ... prisms coincide throughout , and are equal to each other . Therefore , two prisms , & c . Cor . Two right prisms , which ...
Página 131
... prisms . Let AG be a parallelopiped , and AC , EG the diagonals of the opposite parallelo- grams BD , FH . Now , because AE , CG are each of them parallel to BF , they are par- allel to each other ; therefore , the diagonals AC , EG are ...
... prisms . Let AG be a parallelopiped , and AC , EG the diagonals of the opposite parallelo- grams BD , FH . Now , because AE , CG are each of them parallel to BF , they are par- allel to each other ; therefore , the diagonals AC , EG are ...
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Términos y frases comunes
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone convex surface curve described diagonals diameter draw ellipse equal angles equal to AC equally distant equiangular equilateral equivalent exterior angle foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect join latus rectum Let ABC lines AC Loomis major axis mean proportional measured by half meet number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN prism Professor of Mathematics PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment side AC similar similar triangles slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Pasajes populares
Página 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Página 17 - If two triangles have two sides, and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal, their third sides will be equal, and their other angles will be equal, each to each.
Página 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Página 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Página 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Página 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 32 - 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.
Página 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Página 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Página 44 - 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.