Elements of Geometry and Trigonometry |
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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
A segment is the surface or portion of a circle , included between an arc and its chord . 5. A sector is the part of the circle included between an arc DE , and the two radii CD , CE , drawn to the extremities of ...
A segment is the surface or portion of a circle , included between an arc and its chord . 5. A sector is the part of the circle included between an arc DE , and the two radii CD , CE , drawn to the extremities of ...
Page 68
The area and surface of a figure , are terms very nearly synonymous . The area designates more particularly the super- ficial content of the figure . The area is expressed numeri- cally by the number of times which the figure contains ...
The area and surface of a figure , are terms very nearly synonymous . The area designates more particularly the super- ficial content of the figure . The area is expressed numeri- cally by the number of times which the figure contains ...
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
... the rectangle B would then have for its absolute measure , in other words , it would be equal to of a super- ficial unit . It is more common and more simple , to assume the square as the unit of surface ; and to se- lect that square ...
... the rectangle B would then have for its absolute measure , in other words , it would be equal to of a super- ficial unit . It is more common and more simple , to assume the square as the unit of surface ; and to se- lect that square ...
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Edition | 4 |
| Publisher | A.S. Barnes and Company, 1834 |
| Original from | the University of California |
| Digitized | 14 Oct 2010 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |