 | Samuel Webber - 1808 - 466 páginas
...Ay 22 and consequently, Ar = AB is the side of the pentagon. As the square of the side of a regular pentagon, inscribed in a circle, is equal to the sum of the squares of the radius and of the side of a regular decagon, inscribed in the same circle, and Ar2=AoJ-j-or2,... | |
 | Sir John Leslie - 1809 - 542 páginas
...circumscribed about the circle, by applying tangents at their several angular points. PROP. XXIII. THEOR. The square of the side of a pentagon inscribed in a circle, is equivalent to the squares of the sides of the inscribed hexagon and decagon. Let ABCDEF be a portion... | |
 | Sir John Leslie - 1817 - 456 páginas
...about the circle, by applying tangents at their several angular points. PROP. XIX. THEOR. '•v »' ' 'The square of the side of a pentagon inscribed in a circle, is equivalent to the squares of the sides of the inscribed hexagon and decagon. Let ABCDEF be half of... | |
 | Miles Bland - 1819 - 442 páginas
...which meet their extremities. 71. The square described on the side of an equilateral and equiangular pentagon inscribed in a circle, is equal to the sum of "the squares of the side of a regular hexagon and decagon inscribed in the same circle. 72. If the opposite... | |
 | Miles Bland - 1819 - 444 páginas
...AB, BC and AD, DC together. (71.) The square described on the side of an equilateral and equiangular pentagon inscribed in a circle, is equal to the sum of the squares of the sides of a regular hexagon and decagon inscribed in the same circle. Let ABC be an isosceles... | |
 | Alfred Wrigley - 1845 - 222 páginas
...equilateral triangle and a square inscribed in the same circle. 172. The square of the side of a regular pentagon inscribed in a circle is equal to the sum of the squares of the sides of a regular hexagon and a decagon inscribed in the same circle. 173. In a right-angled... | |
 | Thomas Grainger Hall - 1848 - 192 páginas
...a mean proportional between the areas of an inscribed and circumscribed equilateral triangle. (14.) The square of the side of a pentagon inscribed in a circle is equal to the sum of the squares of the sides of л regular hexagon and decagon inscribed in the samecircle. (15.) If Jt and... | |
 | John Hind - 1855 - 540 páginas
...right angles : prove that the area = (»-a)(«-¿) = (*-u)(*-c). 4. The square of the side of a regular pentagon .inscribed in a circle, is equal to the sum of the squares of the sides of a regular hexagon and decagon, inscribed in the same circle. 5. Compare the... | |
 | Dublin city, univ - 1858 - 264 páginas
...which, if lines be drawn to five given points, the sum of their squares will be given. 4. Prove that the square of the side of a pentagon inscribed in a circle is equal to the sum of the squares of the sides of a hexagon and of a decagon inscribed in the same circle. MR. SALMON. 5. Prove... | |
 | Euclides - 1860 - 288 páginas
...circumference in F, and FB be joined, FB will be a side of a pentagon in the greater circle. 23. The square on the side of a pentagon inscribed in a circle, is equal to the sum of the squares on the sides of a hexagon and decagon, inscribed in the same circle. FIFTH BOOK. DEFINITIONS.... | |
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The square on the side of a regular pentagon inscribed in a circle is equal to the sum of the squares on the sides of the regular hexagon and decagon inscribed in the same circle. 
