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 86
... radius of the sphere . Thus CA is a radius of the sphere , represented in the last figure . A straight line joining two points of the sur- face , and passing through the centre , is called a diameter of the sphere , e . g . the diameter ...
... radius of the sphere . Thus CA is a radius of the sphere , represented in the last figure . A straight line joining two points of the sur- face , and passing through the centre , is called a diameter of the sphere , e . g . the diameter ...
Page 88
... radius of a sphere ? 30. What , its diameter ? The teacher ought now to vary these ques- tions , and illustrate them by an apparatus . * * * OF CYLINDERS . QUERY I. D If a cylinder ABCD , be cut by a plane parallel to its base , what ...
... radius of a sphere ? 30. What , its diameter ? The teacher ought now to vary these ques- tions , and illustrate them by an apparatus . * * * OF CYLINDERS . QUERY I. D If a cylinder ABCD , be cut by a plane parallel to its base , what ...
Page 94
... radius of the circle , and for the number 3,1415926 . The area of the circle is there represented by rr ; because it is equal to the number 3,1415926 , multiplied by the square of the radius . Thus , the solidity of a cylinder may be ...
... radius of the circle , and for the number 3,1415926 . The area of the circle is there represented by rr ; because it is equal to the number 3,1415926 , multiplied by the square of the radius . Thus , the solidity of a cylinder may be ...
Page 96
... radius R of the first cylinder , is to the cube of the radius of the second cylinder ; and as the radii of two circles are in the same ratio as the diameters , it follows , that the cubes of the radii are also in the same ratio as the ...
... radius R of the first cylinder , is to the cube of the radius of the second cylinder ; and as the radii of two circles are in the same ratio as the diameters , it follows , that the cubes of the radii are also in the same ratio as the ...
Page 99
... radius HB of the basis of a cone bears to the radius hD , of a section made parallel to that basis ? * Ans . The radius HB , of the basis , is to the radius hD , of the section , as the height of the entire cone is to the distance of ...
... radius HB of the basis of a cone bears to the radius hD , of a section made parallel to that basis ? * Ans . The radius HB , of the basis , is to the radius hD , of the section , as the height of the entire cone is to the distance of ...
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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