Elements of Geometry and Trigonometry |
From inside the book
Page 42
The circle is then said to circumscribe such a figure . 7. ... A polygon is circumscribed about a circle , when all its sides are tangents to the circumference : in the same case , the circle is said to be inscribed in the polygon .
The circle is then said to circumscribe such a figure . 7. ... A polygon is circumscribed about a circle , when all its sides are tangents to the circumference : in the same case , the circle is said to be inscribed in the polygon .
Page 96
In every triangle , the rectangle contained by two sides is equivalent to the rectangle contained by the diameter of the circumscribed circle , and the perpendicular let fall upon the third side . In the triangle ABC , let AD be drawn ...
In every triangle , the rectangle contained by two sides is equivalent to the rectangle contained by the diameter of the circumscribed circle , and the perpendicular let fall upon the third side . In the triangle ABC , let AD be drawn ...
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 114
A regular inscribed polygon being given , to circumscribe a sim ilar polygon about the same circle . ... these tangents , I by their intersections , will form the regular circumscribed polygon GHIK & c . similar to the one inscribed .
A regular inscribed polygon being given , to circumscribe a sim ilar polygon about the same circle . ... these tangents , I by their intersections , will form the regular circumscribed polygon GHIK & c . similar to the one inscribed .
Page 115
Hence we may circumscribe about a circle any regular polygon , which can be inscribed within it , and conversely . ... A circle and regular circumscribed polygon being given , it is required to circumscribe the circle by another regular ...
Hence we may circumscribe about a circle any regular polygon , which can be inscribed within it , and conversely . ... A circle and regular circumscribed polygon being given , it is required to circumscribe the circle by another regular ...
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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 |