Elements of Geometry and Trigonometry |
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Page 4
The propo- sition in Book V. , which proves that a polygon and circle may be made to coincide sò nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia .
The propo- sition in Book V. , which proves that a polygon and circle may be made to coincide sò nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia .
Page 10
If the lines are straight , the space they enclose is called a rectilineal figure , or polygon , and the lines themselves , taken together , form the contour , or perimeter of the polygon . B B A D A B -F 14. The polygon of three sides ...
If the lines are straight , the space they enclose is called a rectilineal figure , or polygon , and the lines themselves , taken together , form the contour , or perimeter of the polygon . B B A D A B -F 14. The polygon of three sides ...
Page 12
Thus , A + B , represents the sum of the quantities A and B ; A - B represents their difference , or what remains after B is taken from A ; and A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is ...
Thus , A + B , represents the sum of the quantities A and B ; A - B represents their difference , or what remains after B is taken from A ; and A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is ...
Page 13
A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the line AB is taken three times ; A signifies the half of the angle A. The square of the line AB is designated ...
A number placed before a line , or a quantity , serves as a multiplier to that line or quantity ; thus , 3AB signifies that the line AB is taken three times ; A signifies the half of the angle A. The square of the line AB is designated ...
Page 18
Let any point , as O , be taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC . Let BO be produced till it meets the side AC in D : then the line ...
Let any point , as O , be taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC . Let BO be produced till it meets the side AC in D : then the line ...
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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 |