Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 59
Page 9
A surface is that which has length and breadth , without height or thickness . 6. A plane is a surface , in which , if two points be assumed at pleasure , and connected by a straight line , that line will lie wholly in the surface . 7.
A surface is that which has length and breadth , without height or thickness . 6. A plane is a surface , in which , if two points be assumed at pleasure , and connected by a straight line , that line will lie wholly in the surface . 7.
Page 41
... and is formed by two chords . B an arc . The chord , or subtense of an arc , is the straight line FG , which joins its two extremities . † 4. A segment is the surface or portion of a circle , included between an arc and its chord .
... and is formed by two chords . B an arc . The chord , or subtense of an arc , is the straight line FG , which joins its two extremities . † 4. A segment is the surface or portion of a circle , included between an arc and its chord .
Page 68
The area and surface of a figure , are terms very nearly synonymous . The area designates more particularly the superficial content of the figure . The area is expressed numeri3 cally by the number of times which the figure contains 88 ...
The area and surface of a figure , are terms very nearly synonymous . The area designates more particularly the superficial content of the figure . The area is expressed numeri3 cally by the number of times which the figure contains 88 ...
Page 72
This product will give the number of superficial units in the surface ; because , for one unit in height , there are as many superficial units as there are linear units in the base ; for two units in height twice as many ; for three ...
This product will give the number of superficial units in the surface ; because , for one unit in height , there are as many superficial units as there are linear units in the base ; for two units in height twice as many ; for three ...
Page 73
... its absolute measure , in other words , it would be equal to 34 of a superficial unit . It is more common and more simple , to assume the square as the unit of surface ; and to select that square , whose side is the unit of length .
... its absolute measure , in other words , it would be equal to 34 of a superficial unit . It is more common and more simple , to assume the square as the unit of surface ; and to select that square , whose side is the unit of length .
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 |