Elements of Geometry and Trigonometry |
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Page 4
The proposition in Book V. , which proves that a polygon and circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia .
The proposition in Book V. , which proves that a polygon and circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia .
Page 5
Planes and Solid Angles , Polyedrons , 400mm The Proportions of Figures and the Measurement of Areas , - Problems relating to the Fourth Book , BOOK I. BOOK V. Regular Polygons and the Measurement of the Circle , BOOK VI .
Planes and Solid Angles , Polyedrons , 400mm The Proportions of Figures and the Measurement of Areas , - Problems relating to the Fourth Book , BOOK I. BOOK V. Regular Polygons and the Measurement of the Circle , BOOK VI .
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 A B -I D -B 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 A B -I D -B 14. The polygon of three sides ...
Page 11
An equilateral polygon is one which has all its sides equal ; an equiangular polygon , one which has all its angles ... Two polygons are mutually equilateral , when they have their sides equal each to each , and placed in the same order ...
An equilateral polygon is one which has all its sides equal ; an equiangular polygon , one which has all its angles ... Two polygons are mutually equilateral , when they have their sides equal each to each , and placed in the same order ...
Page 30
Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals p , AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the polygon will be divided into five triangles ...
Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals p , AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the polygon will be divided into five triangles ...
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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 |