An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in Algebra. Part II, Containing Solid Geometry, with Its Application to the Solution of Problems |
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Page 81
... parallel circles , which are its bases , and a curved lateral surface , called the convex surface of the cylinder . This convex surface is such , that from every point in the circum- ference of the lower basis , a straight line drawn to ...
... parallel circles , which are its bases , and a curved lateral surface , called the convex surface of the cylinder . This convex surface is such , that from every point in the circum- ference of the lower basis , a straight line drawn to ...
Page 100
... parallel to the basis of a cone , are in pro- portion to the distances of these sections from the vertex of the cone ... circles , DE , BC , are also in pro- portion to the squares upon their radii ( see Plane Geometry , page 159 , 2d ) ...
... parallel to the basis of a cone , are in pro- portion to the distances of these sections from the vertex of the cone ... circles , DE , BC , are also in pro- portion to the squares upon their radii ( see Plane Geometry , page 159 , 2d ) ...
Page 112
... circles , CD , AB , ( namely , in the ratio of ED to EB ) ; it follows , that if BF is equal to the circum- ference of the circle ... parallel 112 SOLID GEOMETRY .
... circles , CD , AB , ( namely , in the ratio of ED to EB ) ; it follows , that if BF is equal to the circum- ference of the circle ... parallel 112 SOLID GEOMETRY .
Page 119
... parallel sections of a sphere , are called parallel circles ; the diameter AB ( see the last figure ) , axis of these parallel circles ; and the extremities , A and B , of this axis , are called the poles of the parallel circles . which ...
... parallel sections of a sphere , are called parallel circles ; the diameter AB ( see the last figure ) , axis of these parallel circles ; and the extremities , A and B , of this axis , are called the poles of the parallel circles . which ...
Page 120
... circles be situated with regard to each other ? Ans . The plane surfaces of these two circles must be perpendicular ... parallel to AB ; conse- quently , if you imagine a great circle AMBN , of which MN is a diameter , the plane of this ...
... circles be situated with regard to each other ? Ans . The plane surfaces of these two circles must be perpendicular ... parallel to AB ; conse- quently , if you imagine a great circle AMBN , of which MN is a diameter , the plane of this ...
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Common terms and phrases
ABCDEF arcs axis basis ABC basis and height bodies calculate called CAVSAS centre cone ABC consequently convex surface corresponding sides cube root cubic contents cubic feet cubic inches diameter distance divided DOCERE draw equal and parallel equal bases equal heights find the solidity foot found by multiplying frustrum GEORGIA LIBRARIES inferences logarithms lower basis manner mean proportional multiplying its basis oblique parallelopiped paral parallel circles parallel planes perpendicular plane angles Plane Geometry plane MN plane parallel polygon PROBLEM prove pyra pyramid ABCD pyramids of equal QUERY radii radius ramid ratio Remark RERVM right angles right cone right cylinder right parallelopiped right prism similar solid angle Solid Geometry SOLUTION spherical spherical angle square feet straight line third three pyramids tiplying triangle AGC triangular prism triangular pyramid truncated prism ungula UNIVERSITY OF GEORGIA upper basis vertex vertices whole pyramid zone