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
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...is threefourths of that of the regular circumscribed hexagon. 5. The area of the regular inscribed **hexagon is a mean proportional between the areas of the inscribed and** circumscribed equilateral triangles. 6. If the perpendicular from A to the side BC of the equilateral... | |
| William Chauvenet - 1893 - 340 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... | |
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