Elements of Geometry: With Practical Applications Designed for BeginnersD. Appleton, 1853 - 320 σελίδες |
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Σελίδα 228
... abcdex So is that of the pyramid Sabcde , ( B. VII , Prop . xvII :) hence two similar pyra- mids are to each other as the cubes of their homologous sides . BOOK EIGHTH . DEFINITIONS . 1. A cylinder is a 228 ELEMENTS OF GEOMETRY .
... abcdex So is that of the pyramid Sabcde , ( B. VII , Prop . xvII :) hence two similar pyra- mids are to each other as the cubes of their homologous sides . BOOK EIGHTH . DEFINITIONS . 1. A cylinder is a 228 ELEMENTS OF GEOMETRY .
Σελίδα 229
... cylinder is a solid , which may be produced by the revolution of a rect- angle ABCD , conceived to turn about the ... cylinder ; the side CD at the same time describing the convex surface . D H A B N M B E G The immovable line AB is ...
... cylinder is a solid , which may be produced by the revolution of a rect- angle ABCD , conceived to turn about the ... cylinder ; the side CD at the same time describing the convex surface . D H A B N M B E G The immovable line AB is ...
Σελίδα 230
... cylinder , a polygon ABCDE is inscribed , a right prism , con- structed on this base ABCDE , and equal in altitude to the cylinder , is said to be inscribed in the cylinder , or the cylinder to be circumscribed about the prism . The ...
... cylinder , a polygon ABCDE is inscribed , a right prism , con- structed on this base ABCDE , and equal in altitude to the cylinder , is said to be inscribed in the cylinder , or the cylinder to be circumscribed about the prism . The ...
Σελίδα 231
... cylinder , a right prism , con- structed on this base , ABCD , and equal in altitude to the cylinder , is said to be circumscribed about the cylinder , or the cylinder to be in- scribed in the prism . Let M , N , & c . , be the points ...
... cylinder , a right prism , con- structed on this base , ABCD , and equal in altitude to the cylinder , is said to be circumscribed about the cylinder , or the cylinder to be in- scribed in the prism . Let M , N , & c . , be the points ...
Σελίδα 233
... cylinder is equal to the product of its base by its altitude . Let CA be a radius of the given cylinder's base ; H the altitude . Let surf . CA rep- resent the area of the circle whose radius is CA : we are to show that the solidity of ...
... cylinder is equal to the product of its base by its altitude . Let CA be a radius of the given cylinder's base ; H the altitude . Let surf . CA rep- resent the area of the circle whose radius is CA : we are to show that the solidity of ...
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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