 | William Chauvenet - Geometry - 1871 - 380 pages
...the same side, or by dodecagons and equilateral triangles having the same side. 263. The area of a regular inscribed octagon is equal to that of a rectangle...sides of the inscribed and circumscribed squares. 264. The area of a circle is a mean proportional between the areas of any two similar polygons, one... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...the same side, or by dodecagons and equilateral triangles having the same side. 2G3. The area of a regular inscribed octagon is equal to that of a rectangle...sides of the inscribed and circumscribed squares. 264. The area of a circle is a mean proportional between the areas of any two similar polygons, one... | |
 | David Munn - 1873 - 160 pages
...radius is R, and A = the side of the similar circumscribed polygon, prove / \ * (i.) A= , . ( 2 .) a = 34. Three equal circles touch each other; find the...octagon is equal to that of a rectangle whose adjacent isides are equal to the sides of the insc1ibed and circumscribed squares. 37. Find the ratio of the... | |
 | William Chauvenet - Geometry - 1875 - 466 pages
...the same side, or by dodecagons and equilateral triangles having the same side. 263. The area of a regular inscribed octagon is equal to that of a rectangle whose adjacent sides arc equal to the sides of the inscribed and circumscribed squares. 265. Two diagonals of a regular... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...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...sides of the inscribed and circumscribed squares. 8. Show that the area of a regular inscribed dodecagon is equal to three times the square on the radius.... | |
 | George Albert Wentworth - 1879 - 196 pages
...circumscribed A will be 4, and they will give the proportion i : 2 :: 2 : 4. Ex. 7. Show that the area of a regular inscribed octagon is equal to that of a rectangle...sides of the inscribed and circumscribed squares. Let ABCD be the circumscribed square, EFGH the inscribed square, and EJFKGLHI the regular inscribed... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...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...sides of the inscribed and circumscribed squares. 8. Show that the area of a regular inscribed dodecagon is equal to three times the square on the radius.... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...the vertices of a regular dodecagon. 8. The area of an inscribed regular octagon is equal to the area of a rectangle whose adjacent sides are equal to the sides of the inscribed and the circumscribed squares. 9. A plane surface may be entirely covered (as in the pavement of a street)... | |
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... by equal regular polygons of either three, four, or six sides. 262. A plane surface may be entirely covered by a combination of squares and regular octagons having the same side, or by dodecagons and equilateral triangles having the same side. 