Elements of Geometry and Trigonometry |
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Page 166
A cylinder is the solid generated by the revolution of a rectangle ABCD , conceived to turn about the immoveable side AB . P In this movement , the sides AD , BC , continuing always perpendicular to AB , describe equal circles DHP ...
A cylinder is the solid generated by the revolution of a rectangle ABCD , conceived to turn about the immoveable side AB . P In this movement , the sides AD , BC , continuing always perpendicular to AB , describe equal circles DHP ...
Page 167
Two cylinders , or two cones , are similar , when their axes are to each other as the diameters of their bases . 5. If in the circle ACD , which forms the N base of a cylinder , a polygon ABCDE be inscribed , a right prism , constructed ...
Two cylinders , or two cones , are similar , when their axes are to each other as the diameters of their bases . 5. If in the circle ACD , which forms the N base of a cylinder , a polygon ABCDE be inscribed , a right prism , constructed ...
Page 168
The Cylinder , the Cone , and the Sphere , are the three round bodies treated of in the Elements of Geometry . PROPOSITION I. THEOREM . The convex surface of a cylinder 168 GEOMETRY .
The Cylinder , the Cone , and the Sphere , are the three round bodies treated of in the Elements of Geometry . PROPOSITION I. THEOREM . The convex surface of a cylinder 168 GEOMETRY .
Page 169
The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude . Let CA be the radius of the given cylinder's base , and H its altitude : the circumference whose radius is CA being represented by ...
The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude . Let CA be the radius of the given cylinder's base , and H its altitude : the circumference whose radius is CA being represented by ...
Page 170
Let CA be the radius of the base of the cylinder , and H the altitude . Let the circle whose radius is CA be represented by area CA , it is to be proved that the solidity of the cylinder is equal to area CAx H. Inscribe in the circle ...
Let CA be the radius of the base of the cylinder , and H the altitude . Let the circle whose radius is CA be represented by area CA , it is to be proved that the solidity of the cylinder is equal to area CAx H. Inscribe in the circle ...
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry DAVIES' COURSE OF MATHEMATICS |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Publisher | A.S. Barnes and Company, 1839 |
| Original from | Harvard University |
| Digitized | 14 Jan 2008 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |