Elements of Geometry and Trigonometry |
From inside the book
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 108
... since these two lines are to each other :: √2 : 1 ( Prop . XI . Cor . 4. ) , but which acquires a greater degree of clearness by the geometrical investigation . BOOK V. REGULAR POLYGONS , AND THE MEASUREMENT OF THE 108 GEOMETRY .
... since these two lines are to each other :: √2 : 1 ( Prop . XI . Cor . 4. ) , but which acquires a greater degree of clearness by the geometrical investigation . BOOK V. REGULAR POLYGONS , AND THE MEASUREMENT OF THE 108 GEOMETRY .
Page 109
BOOK V. REGULAR POLYGONS , AND THE MEASUREMENT OF THE CIRCLE . Definition . A POLYGON , which is at once equilateral and equiangular , is called a regular polygon . Regular polygons may have any number of sides : the equilateral ...
BOOK V. REGULAR POLYGONS , AND THE MEASUREMENT OF THE CIRCLE . Definition . A POLYGON , which is at once equilateral and equiangular , is called a regular polygon . Regular polygons may have any number of sides : the equilateral ...
Page 110
Any regular polygon may be inscribed in a circle , and circumscribed about one . Let ABCDE & c . be a regular polygon describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it ...
Any regular polygon may be inscribed in a circle , and circumscribed about one . Let ABCDE & c . be a regular polygon describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it ...
Page 111
To inscribe a regular polygon of a certain number of sides in a given circle , we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal , the chords AB , BC , CD , & c . will ...
To inscribe a regular polygon of a certain number of sides in a given circle , we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal , the chords AB , BC , CD , & c . will ...
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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 |