Elements of Geometry and Trigonometry |
From inside the book
Page 184
... segment be supposed to make a revolution about a diameter exterior to it , required the value of the solid which it describes . A M Let the segment BMD revolve about AC . On the axis , let fall the perpendiculars BE , DF ; from the ...
... segment be supposed to make a revolution about a diameter exterior to it , required the value of the solid which it describes . A M Let the segment BMD revolve about AC . On the axis , let fall the perpendiculars BE , DF ; from the ...
Page 185
... segment , EF its altitude , the segment being described by the revolution of the circular space BMDFE about the axis FE . The solid described by the segment BMD is equal to .BD.EF D ( Prop . XVI . ) ; and the truncated cone described by ...
... segment , EF its altitude , the segment being described by the revolution of the circular space BMDFE about the axis FE . The solid described by the segment BMD is equal to .BD.EF D ( Prop . XVI . ) ; and the truncated cone described by ...
Page 293
... segment ; to this product add the solidity of a sphere whose diameter is equal to the height of the segment ( Book VIII . Prop . XVII . ) . REMARK . — When the segment has but one base , the other is to be considered equal to ō ( Book ...
... segment ; to this product add the solidity of a sphere whose diameter is equal to the height of the segment ( Book VIII . Prop . XVII . ) . REMARK . — When the segment has but one base , the other is to be considered equal to ō ( Book ...
Contents
Ratios and Proportions | 34 |
The Circle and the Measurement of Angles | 41 |
Problems relating to the First and Third Books | 57 |
14 other sections not shown
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface Cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm M.
M. Sine number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism vertex
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 |