New Elementary Geometry: With Practical Applications ; a Shorter Course Upon the Basis of the Larger Work |
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Page 113
... Slant Height of a right pyramid is a line drawn from the vertex to the middle of one of the sides of the base . 269 ... Slant Height of a frustum of a right pyramid is that part of the slant height of the pyramid which is inter ...
... Slant Height of a right pyramid is a line drawn from the vertex to the middle of one of the sides of the base . 269 ... Slant Height of a frustum of a right pyramid is that part of the slant height of the pyramid which is inter ...
Page 127
... slant height . Let ABCDE - S be a right pyra- mid , and SM its slant height ; then the convex surface is equal to the perimeter AB + BC + CD + DE + E A mul- tiplied by S M. S The triangles SA B , S B C , S C D , & c . are all equal ...
... slant height . Let ABCDE - S be a right pyra- mid , and SM its slant height ; then the convex surface is equal to the perimeter AB + BC + CD + DE + E A mul- tiplied by S M. S The triangles SA B , S B C , S C D , & c . are all equal ...
Page 128
... slant height . 305. Cor . The lateral faces of a right pyramid are equal isosceles triangles , having for their bases the sides of the base of the pyramid . THEOREM XVIII 306. If a pyramid be cut by a plane parallel to its base , 1st ...
... slant height . 305. Cor . The lateral faces of a right pyramid are equal isosceles triangles , having for their bases the sides of the base of the pyramid . THEOREM XVIII 306. If a pyramid be cut by a plane parallel to its base , 1st ...
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Common terms and phrases
A B C A B equal ABCD ABCDEF adjacent angles allel alternate angles altitude angle ACD angle BAC antecedent base multiplied bases ABC bisect chord circumference cone consequently convex surface cylinder diagonal diameter divided draw the straight equal and parallel equal angles equal bases equal Theo equiangular equivalent feet formed four right angles frustum given straight line greater Greenleaf's half the sum homologous sides hypothenuse included angle inscribed angle inscribed circle interior angles intersection Let ABC line CD magnitudes mean proportional measured by half meet number of sides opposite parallelogram parallelopipedon perimeter perpendicular polyedron prism quadrilateral radii radius ratio rectangle regular polygon rhombus right angles Theo Scholium secant line side A B side BC slant hight Solid sphere square described tangent THEOREM third triangles ABC triangular triangular prism vertex volume
Popular passages
Page 23 - 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.
Page 29 - 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.
Page 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Page 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Page 61 - At a point in a given straight line to make an angle equal to a given angle.
Page 57 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Page 62 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Page 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let...
Page 100 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...
Page 88 - Similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.