Elements of Geometry and Trigonometry |
From inside the book
Page 107
A F B We might here take AF - AD , and actually apply it upon AB ; we should find it to be contained twice with a remainder : but as that remainder , and those which succeed it , conE tinue diminishing , and would soon elude our ...
A F B We might here take AF - AD , and actually apply it upon AB ; we should find it to be contained twice with a remainder : but as that remainder , and those which succeed it , conE tinue diminishing , and would soon elude our ...
Page 166
A cone is the solid generated by the revolution of a rightangled triangle SAB , conceived to turn about the immoveable side SA . In this movement , the side AB describes a circle BDCE , named the buse of the cone ; the hypothenuse SB ...
A cone is the solid generated by the revolution of a rightangled triangle SAB , conceived to turn about the immoveable side SA . In this movement , the side AB describes a circle BDCE , named the buse of the cone ; the hypothenuse SB ...
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 ABCDE , which forms the base of a cone , any polygon ABCDE be inscribed , and from the vertices A ...
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 ABCDE , which forms the base of a cone , any polygon ABCDE be inscribed , and from the vertices A ...
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 171
The convex surface of a cone is equal to the circumference of its base , multiplied by half its side . G Let the circle ABCD be the base of a cone , S the vertex , SO the altitude , and SA the side then will its convex surface be equal ...
The convex surface of a cone is equal to the circumference of its base , multiplied by half its side . G Let the circle ABCD be the base of a cone , S the vertex , SO the altitude , and SA the side then will its convex surface be equal ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
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 |