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" Prove that the area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and the circumscribed equilateral triangles. "
Plane Geometry - Page 243
by Edward Rutledge Robbins - 1906 - 254 pages
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...The area of the inscribed equilateral triangle. (/) The area of the inscribed regular hexagon. (</) The area of the inscribed regular octagon. (A) The...of AB. If AB be prolonged to O making BO equal to BC, and OT be drawn tangent to the circle at T, OT will be f the radius. 65. A square, an equilateral...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...triangle. (/) The area of the inscribed regular hexagon. (g) The area of the inscribed regular octagon. (h) The area of the circumscribed regular hexagon. 63....of AB. If AB be prolonged to O making BO equal to BC, and 0!T be drawn tangent to the circle at T, OT will be f the radius. 65. A square, an equilateral...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...vertices of a regular hexagon, thus forming another hexagon. Compare the areas of the two hexagons. 23. The area of an inscribed regular hexagon is a mean...proportional between the areas of the inscribed and circumscribed equilateral triangles. 24. Join the alternate vertices of any regular polygon and show...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...vertices of a regular hexagon, thus forming another hexagon. Compare the areas of the two hexagons. 23. The area of an inscribed regular hexagon is a mean proportional between thq, areas of the inscribed and circumscribed equilateral triangles. 24. Join the alternate vertices...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...the side of the inscribed regular hexagon. Ex. 486. The area of an inscribed regular hexagon is the mean proportional between the areas of the inscribed and the circumscribed equilateral triangle. PROPOSITION XXV. THEOREM. 516. Of all isoperimetric polygons of the same number of sides...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...the line joining the other ends of these diameters goes through the other point of intersection. 4. The area of an inscribed regular hexagon is a mean...proportional between the areas of the inscribed and circumscribed equilateral triangles. 5. In the same circle or in equal circles two central angles have...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...530. .ji, 33, 3. 492. Ex. 1005. Find the area of a regular hexagon whose side is 6 inches. Ex. 1006. The area of an inscribed regular hexagon is a mean...proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex. 1007. The figure represents a flower beddrawn to the scale...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...2. 533. 3. 492. Ex. 1005. Find the area of a regular hexagon whose side is 6 inches. Ex. 1006. The area of an inscribed regular hexagon is a mean...proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex. 1007. The figure represents a flower bed drawn to the scale...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...area of the circumscribed equilateral triangle. 9. The area of the regular inscribed hexagon is the mean proportional between the areas of the inscribed and the circumscribed equilateral triangles. 10. In Ex. 6 compare the area of the given hexagon with that of any one of the figures pointed out....
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 360 pages
...area of the circumscribed equilateral triangle. 9. The area of the regular inscribed hexagon is the mean proportional between the areas of the inscribed and the circumscribed equilateral triangles. 10. In Ex. 6 compare the area of the given hexagon with that of any one of the figures pointed out....
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