 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 243by Edward Rutledge Robbins - 1906 - 254 pagesFull view - About this book
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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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