Elements of Geometry: With Practical Applications Designed for BeginnersD. Appleton, 1853 - 320 σελίδες |
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Σελίδα 110
... pyramids by means of their shadows . ( 77. ) PROBLEM . Suppose AB to be a tree , standing on the horizontal plane AC ; it is required to find at what point it must break , so that , by falling , the top may strike the ground at C. ( See ...
... pyramids by means of their shadows . ( 77. ) PROBLEM . Suppose AB to be a tree , standing on the horizontal plane AC ; it is required to find at what point it must break , so that , by falling , the top may strike the ground at C. ( See ...
Σελίδα 203
... pyramid ; the point S is its vertex ; and the triangles ASB , BSC , & c . , taken together , form the convex or lateral surface of the pyramid . 9. The altitude of a pyramid is the perpendicular drawn from the vertex to the plane of its ...
... pyramid ; the point S is its vertex ; and the triangles ASB , BSC , & c . , taken together , form the convex or lateral surface of the pyramid . 9. The altitude of a pyramid is the perpendicular drawn from the vertex to the plane of its ...
Σελίδα 221
... pyramid A BCD be cut by a plane parallel to the base , forming the section FGH ; then will this section be similar ... pyramids , BOOK VII . 221.
... pyramid A BCD be cut by a plane parallel to the base , forming the section FGH ; then will this section be similar ... pyramids , BOOK VII . 221.
Σελίδα 222
... pyramids , which have equal bases and equal altitudes , be cut by planes which are parallel to the bases , and at equal distances from them ; those sections will be equal . Let the two tri- angular pyramids ABCD , abcd , which have ...
... pyramids , which have equal bases and equal altitudes , be cut by planes which are parallel to the bases , and at equal distances from them ; those sections will be equal . Let the two tri- angular pyramids ABCD , abcd , which have ...
Σελίδα 223
... pyramids . PROPOSITION XV . THEOREM . Two triangular pyramids having equivalent bases and equal altitudes , are equivalent , or equal in solidity . u N K L M a + x + D H d a E B n m Let SABC , Sabc be those two pyramids ; let their ...
... pyramids . PROPOSITION XV . THEOREM . Two triangular pyramids having equivalent bases and equal altitudes , are equivalent , or equal in solidity . u N K L M a + x + D H d a E B n m Let SABC , Sabc be those two pyramids ; let their ...
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Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
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a+b+c altitude angle ABC angle ACD angle BAC bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle ference figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line CD lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel lines parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop proportional PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar solid angle sphere spherical polygon square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII