 | David Munn - Measurement - 1874 - 374 pages
...that the weight of the plate is reduced -]• ; find the diameter of the hole. 60. The area of the regular hexagon inscribed in a circle is a mean proportional...inscribed and circumscribed equilateral triangles. 6 1. If a spherical shell, when formed into a solid sphere, be equal in volume to its own cavity, shew... | |
 | Harvard University - 1874 - 668 pages
...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 fax taken points A', B', C', . . . .... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...equilateral and equiangular hexagon another be inscribed, to determine its ratio to the given one. 114. A regular hexagon inscribed in a circle is a mean proportional between an inscribed and circumscribed equilateral triangle. 115. The area of the inscribed pentagon, is to... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...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 to that of a rectangle whose adjacent... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...to the area of the regular inscribed hexagon as TT is to f 1/3. 10. The area of an inscribed polygon is a mean proportional between the areas of the inscribed and circumscribed polygons of one half the number of sides (V. 22). II. The area of a circle whose radius is 1 is f.... | |
 | Julius Petersen - Geometry, Modern - 1880 - 86 pages
...out of a square piece of paper with the side a? 208. Prove that the area of a regular 2n sided figure inscribed in a circle is a mean proportional between the areas of the inscribed and circumscribed n sided figure. 210. How great is the radius of a circle, in which a sector of 7° 12' has an area... | |
 | Julius Petersen - Geometry, Modern - 1880 - 104 pages
...out of a square piece of paper with the side a? 2o8. Prove that the area of a regular 2n sided figure inscribed in a circle is a mean proportional between the areas of the inscribed and circumscribed n sided figure. 2o9. How great is the radius of a circle, the area of which is 1D'? 210. How great... | |
 | George Albert Wentworth - 1881 - 266 pages
...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 to that of a rectangle whose adjacent... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...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 AS LOCI. 497. To fix the position... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...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 diagonal as a radius and circles be... | |
| |
The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 
