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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

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

William Chauvenet - Geometry - 1871 - 380 pages
...three-fourths of that of the regular circumscribed hexagon. 200. The area of the regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 261. A plane surface may be entirely covered (as in the construction...

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

William Chauvenet - Geometry - 1872 - 382 pages
...three-fourths of that of the regular circumscribed hexagon. _ 260. The area of the regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 261. A plane surface may be entirely covered (as in the construction...

## Catalogue - Harvard University

Harvard University - 1874 - 668 pages
...quadrilateral which is capable of being inscribed hi a circle. 10. Prove that the area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 11. On a line are taken any points A, B, C On a parallel line...

## Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...three-fourths of that of the regular circumscribed hexagon. 6. Show that' the area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 7. Show that the area of a regular inscribed octagon is equal...

## Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...three-fourths of that of the regular circumscribed hexagon. 6. Show that the area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 7. Show that the area of a regular inscribed octagon is equal...

## Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...polygon as its circumference to the perimeter of the polygon. 3. The area of the regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. BOOK VII. OF LOCI AND CONIC SECTIONS. CHAPTER I. LINES AND CIRCLES...

## Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...equals threefourths the area of a regular circumscribed hexagon. 5. The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 6. If the vertices of a square are taken as centres and half the...

## Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...is three-fourths of that of the regular circumscribed hexagon. 7. The area of the regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 8. A plane surface may be entirely covered (as in the construction...