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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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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...and apothem of a regular polygon, to compute the radius and apothem of the isoperimetric polygon of double the number of sides. Let AB be a side of the given regular polygon, O the centre of this polygon, OA its radius, OD its apothem. Produce DO to meet the...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 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, CD a side of the similar circumscribed polygon, tangent to the arc AB at its middle point E. Join AE,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...and apothem of a regular polygon, to compute the radius and apothem of the isoperimetrio polygon of double the number of sides. Let AB be a side of the given regular polygon, 0 the centre of this polygon, OA its radius, OD its apothem. Produce D 0 to meet the...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1873 - 238 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 ? F EG D polygon, CD a side of the similar circumscribed polygon, tangent to the arc AB at its middle...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...polygon, being given ; to find the surfaces of regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given in- EPMQF scribed polygon ; EF, parallel to AB, a side of the circumscribed polygon, and C the center...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...polygon, being given ; to find the surfaces of regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the given in- EPMQF scribed polygon ; EF, parallel to AB, a side of the circumscribed polygon, and C the center...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1874 - 207 pages
...and apothem of a regular polygon, to compute the radius and apoihem of the isoperimetrie polygon of double the number of sides. Let AB be a side of the given regular polygon, 0 the center of this polygon, OA its radius, OD its apothem. Produce DO to meet the...
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The Circle and Straight Line, Part 1

John Harris - Circle-squaring - 1875 - 296 pages
...circumscribed, being given ; to find the surfaces of the regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the...parallel to AB, a side of the circumscribed polygon ; U., the centre of the circle. If the chord AM, and the tangents AP, BQ, be drawn, AM will be a side...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...circumscribed polygon being given, to find the areas of regular inscribed and circumscribed polygons having double the number of sides. Let AB be a side of the...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 : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 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 regular polygon inscribed in the circle whose centre is C, and DE tangent at F, the middle point of...
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