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" The perpendicular from the vertex on the base of an equilateral triangle is equal to the side of an equilateral triangle inscribed in a circle, whose diameter is the base. "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 247
by Miles Bland - 1819 - 377 pages
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...and the given circle. 3. The perpendicular from the vertex to the base of an equilateral triangle = the side of an equilateral triangle inscribed in a circle whose diameter is the base. 4. The area of an inscribed regular hexagon = three.fourths of the area of the regular hexagon circumscribed...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...equilateral triangle is equivalent to half the regular hexagon of the same radius. 612. The altitude of an equilateral triangle is equal to the side of...triangle inscribed in a circle whose diameter is the base of the first. 613. The altitude of an equilateral triangle is to the radius of the circumscribing circle...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...three fourths that of a regular hexagon circumscribed about the same circle. Ex. 724. The altitude of an equilateral triangle is equal to the side of...triangle inscribed in a circle whose diameter is the base of the first triangle. Ex. 725. If the radius of a circle is r and the side of a regular inscribed...
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Key to Milne's Plane and Solid Geometry

William James Milne - Geometry - 1899 - 326 pages
.... 4 . 3 that is, area of inscribed hexagon = J area of circumscribed hexagon. Ex. 724. The altitude of an equilateral triangle is equal to the side of...triangle inscribed in a circle whose diameter is the base of the first triangle. Data : Equilateral Д ABC ; its altitude CD ; and the О whose is AB, the circumference...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...three fourths that of a regular hexagon circumscribed about the same circle. Ex. 724. The altitude of an equilateral triangle is equal to the side of...triangle inscribed in a circle whose diameter is the base of the first triangle. Ex. 725. If the radius of a circle is r and the side of a regular inscribed...
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