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" ... of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given inscribed polygon ; EF, parallel to AB, a side of the circumscribed polygon ; C the centre of the circle. If the chord AM and the... "
Elements of Geometry and Trigonometry: With Notes - Page 107
by Adrien Marie Legendre - 1828 - 316 pages
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 456 pages
...to find the areas of regular inscribed and circumscribed polygons having double the number of tides. Let AB be a side of the given inscribed polygon ; EF, parallel to AB, a side of the similar circumscribed polygon, and C the centre of the circle. Draw the chord AG, and it will be the...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...circumscribed polygon being given, to compute the perimeters of regular inscribed and circumscribed polygons of double the number of sides. Let AB be a side of the given j> regular polygon inscribed in the circle whose centre is C, and A \ \ K and B II ; then AF is a side...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...circumscribed polygon, to compute the perimeters of the regular inscribed and circumscribed polygons of double the number of sides. Let AB be a side of the given inscribed polygon, and CD a side of the similar circumscribed polygon, tangent to the arc AB at its middle point E. Join...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...radius and the side of a regular inscribed polygon, to find the side of the regular inscribed polygon of double the number of sides. Let AB be a side of the regular inscribed polygon. To find the value of AD, a side of a regular inscribed polygon of double...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...circumscribed polygon, to compute the perimeters of the regular inscribed and circumscribed polygons of double the number of sides. Let AB be a side of the given inscribed polygon, and CD a side ^\"v of the similar circumscribed poly- \ \ gon, tangent to the arc AB at its \ \ middle...
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Geometrical Exercises in Paper Folding

Tandalam Sundara Rao - Geometry - 1893 - 131 pages
...regular polygon, to find the radius R' and apothegm r' of a regula-r polygon of the same perimeter but of double the number of sides. Let AB be a side of the first polygon, 0 its centre, OA the radius of the circumscribed circle, and OD the apothegm. On OD...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...and the radius of a regular inscribed polygon, to find the side of the regular inscribed polygon of double the number of sides. Let AB be a side of the regular inscribed polygon. To find AD, a side of the regular inscribed polygon of double the number...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...and the radius of a regular inscribed polygon, to find the side of the regular inscribed polygon of double the number of sides. Let AB be a side of the regular inscribed polygon. To find AD, a side of the regular inscribed polygon of double the number...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...and the radius of a regular inscribed polygon, to find the side of the regular inscribed polygon of double the number of sides. Let AB be a side of the regular inscribed polygon. To find AD, a side of the regular inscribed polygon of double the number...
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