Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added Elements of Plane and Spherical TrigonometryW. E. Dean, 1851 - 317 σελίδες |
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Σελίδα 215
... cylinders inscribed in the hemisphere , and described about the cone , is equal to a cylinder , having the same base and altitude with the hemisphere . Let the figure BCD be constructed as before , and supposed to revolve about CD ; the ...
... cylinders inscribed in the hemisphere , and described about the cone , is equal to a cylinder , having the same base and altitude with the hemisphere . Let the figure BCD be constructed as before , and supposed to revolve about CD ; the ...
Σελίδα 216
... cylinder which stands on the remaining circle , and which has the same altitude GH . The cylinders described by the revolution of the rectangles Gg , and Gr are therefore equal to the cylinder described by the rectangle GP . And as the ...
... cylinder which stands on the remaining circle , and which has the same altitude GH . The cylinders described by the revolution of the rectangles Gg , and Gr are therefore equal to the cylinder described by the rectangle GP . And as the ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore