Elements of Geometry, Conic Sections, and Plane TrigonometryHarber & brothers, 1871 - 58 páginas |
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Página 127
... . A right par- allelopiped is one whose faces are all rect- angles . 9. A cube is a right parallelopiped bounded by six equa . squares , 10. A pyramid is a polyedron contained by several triangular BOOK VIII . 12 " Polyedrons.
... . A right par- allelopiped is one whose faces are all rect- angles . 9. A cube is a right parallelopiped bounded by six equa . squares , 10. A pyramid is a polyedron contained by several triangular BOOK VIII . 12 " Polyedrons.
Página 128
... pyramid is the perpen- dicular let fall from the vertex upon the plane of the base , produced if necessary . The slant height of a pyramid is a line drawn from the vertex , perpendicular to one side of the polygon which forms its base ...
... pyramid is the perpen- dicular let fall from the vertex upon the plane of the base , produced if necessary . The slant height of a pyramid is a line drawn from the vertex , perpendicular to one side of the polygon which forms its base ...
Página 139
... pyramid be cut by a plane parallel to its base , Ist . The edges and the altitude will be divided proportionally . 2d . The section will be a polygon similar to the base . Let A - BCDEF be a pyramid cut by a plane bcdef parallel to its ...
... pyramid be cut by a plane parallel to its base , Ist . The edges and the altitude will be divided proportionally . 2d . The section will be a polygon similar to the base . Let A - BCDEF be a pyramid cut by a plane bcdef parallel to its ...
Página 140
... pyramid , & c . Cor . 1. If two pyramids , having the same altitude , and their bases situated in the same plane , are cut by a plane parallel to their bases , the sections will be to each other as the bases . Let A - BCDEY , A - MNO be ...
... pyramid , & c . Cor . 1. If two pyramids , having the same altitude , and their bases situated in the same plane , are cut by a plane parallel to their bases , the sections will be to each other as the bases . Let A - BCDEY , A - MNO be ...
Página 141
... pyramid , whose base is the polygon BCDEF , and its slant height AH ; then will its convex surface be equal to the ... pyramid is equal to the perimeter of its base , multiplied by half the slant height . Cor . 1. The convex surface of a ...
... pyramid , whose base is the polygon BCDEF , and its slant height AH ; then will its convex surface be equal to the ... pyramid is equal to the perimeter of its base , multiplied by half the slant height . Cor . 1. The convex surface of a ...
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Términos y frases comunes
ABCD allel altitude angle ABC angle ACB angle BAC base bisected chord circle circumference cone convex surface cosine curve described diagonals diameter dicular divided draw ellipse equal angles equal to AC equiangular equilateral equivalent exterior angle figure foci four right angles frustum given angle given point greater hyperbola hypothenuse inscribed intersect Join latus rectum less Let ABC logarithm major axis mean proportional meet multiplied number of sides opposite ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium secant segment side AC similar sine solid angle sphere spherical triangle square subtangent tang tangent THEOREM triangle ABC vertex vertices
Pasajes populares
Página 20 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Página 148 - The radius of a sphere, is a straight line drawn from the center to any point of the surface.
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 34 - ... therefore the angle ACB is equal to the angle CBD. And because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel to BD.
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 159 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
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.
Página 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 29 - If a straight line is perpendicular to one of two parallel lines, it is perpendicular to the other also.
Página 151 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.