| Julius Petersen - Geometry, Modern - 1880 - 86 pages
...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, Plane - 1880 - 73 pages
...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... | |
| Simon Newcomb - Geometry - 1881 - 418 pages
...any circumscribed polygon as its circumference to the perimeter of the polygon. 3. The area of the **regular inscribed hexagon is a mean proportional between...inscribed and circumscribed equilateral triangles.** BOOK VII. OF LOCI AND CONIC SECTIONS. CHAPTER I. LINES AND CIRCLES AS LOCI. 497. To fix the position... | |
| George Albert Wentworth - Geometry, Plane - 1879 - 250 pages
...side of a circumscribed equilateral triangle is double the side of an inscribed equilateral triangle. **5. Show that the area of a regular inscribed hexagon...that the area of a regular inscribed hexagon is a** | I mean proportional between the areas of the inscribed and cir- ,; Icumscribed equilateral triangles.... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...of a regular inscribed hexagon equals threefourths the area of a regular circumscribed hexagon. 5. **The area of a regular inscribed hexagon is a mean...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... | |
| William Chauvenet - Geometry - 1884 - 368 pages
...inscribed hexagon is 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** circtmiscribed equilateral triangles. 261. A plane surface may be entirely covered (as in the construction... | |
| Webster Wells - Geometry - 1886 - 392 pages
...vertex. 7. The figure bounded by the five diagonals of a regular pentagon is a regular pentagon. 8. **The area of a regular inscribed hexagon is a mean proportional between the areas of** an inscribed, and of a circumscribed equilateral triangle. 9. In the figure of Prop. VIII., prove that... | |
| William Chauvenet - Geometry - 1887 - 331 pages
...regular inscribed triangle is one-half the area of the regular inscribed hexagon. 6. The area of the **regular inscribed hexagon 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... | |
| George Albert Wentworth - Geometry - 1888 - 274 pages
...to threefourths of that of the circumscribed regular hexagon. 392. The area of an inscribed regular **hexagon is a mean proportional between the areas of the inscribed and** the circumscribed equilateral triangles. 393. The area of an inscribed regular octagon is equal to... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...inscribed hexagon is threefourths of that of the regular circumscribed hexagon. 5. The area of the **regular inscribed hexagon is a mean proportional between...inscribed and circumscribed equilateral triangles.** G. If the perpendicular from A to the side BC of the equilateral triangle ABC meet BC in D, and the... | |
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