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The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Elements of Plane and Solid Geometry - Page 221
by George Albert Wentworth - 1877 - 398 pages

## Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...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...inscribed and circumscribed equilateral triangles. 24. Join the alternate vertices of any regular polygon and show that a similar polygon is thus formed....

## Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 192 pages
...sides and the included angle of one are equal to two sides and the included angle of the other. 587. The area of a regular inscribed hexagon is a mean...inscribed and circumscribed equilateral triangles. 588. Three equal circles are described each tangent to the other two. If the common radius is R, find...

## Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...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...inscribed and circumscribed equilateral triangles. Ex. 1007. The figure represents a flower bed drawn to the scale of 1 inch to 20 feet. Find the number...

## College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...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...inscribed and circumscribed equilateral triangles. 5. In the same circle or in equal circles two central angles have the same ratio as their intercepted...

## Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 488 pages
...Ex. 1308. The diagonals of a regular pentagon divide each other in extreme and mean ratio. Ex. 1309. The area of a regular inscribed hexagon is a mean...inscribed and circumscribed equilateral triangles. * Ex. 1311. The diagonals drawn from a vertex of a regular decagon divide that angle into eight equal...

## Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...Ex. 1308. The diagonals of a regular pentagon divide each other in extreme and mean ratio. Ex. 1309. The area of a regular inscribed hexagon is a mean...inscribed and circumscribed equilateral triangles. Ex. 1311. The diagonals drawn from a vertex of a regular decagon divide that angle into eight equal...

## Journal of Education

Education - 1914 - 912 pages
...water runs at the rate of 17 miles an hour? 7. The area of a regular hexagon inscribed in a circle is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles, — Prove 8. Plot the loci of the equations, 2v+3x-7 y+x*-0. GRADE XII GERMAN.— XII. 8 am to II am,...

## Plane Geometry

Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...Suggestion. — Express the area of each polygon in terms of the radius OS of ABCDEF. Ex. 27. Prove that the area of a regular inscribed hexagon is a mean proportional between the areas of an inscribed and of a circumscribed equilateral triangle. Suggestion. — Express the areas of each...