 | William Nicholson - 1809 - 716 síður
...ita sides is equal m power to the sides of a hexagon and a ilecagon, inscribed in the same circle ; that is, the square of the side of the pentagon is equal to the sum of the squares of the sides in the other two figures. The area of a pentagon, like that of any other polygon,... | |
 | John Mason Good - 1813 - 904 síður
...that its side is equal in power to the sides of a hexagon and a decagon inscribed in the same circle; that is, the square of the side of the pentagon, is equal to both the squares taken together of the sides of the other two figures ; and consequently those three... | |
 | Rev. John Allen - 1822 - 516 síður
...squares, of the sides of a regular hexagon, and regular decagon, inscribed in the same circle. For the square of the side of the pentagon, is equal to the squares of the radius and the side of the decagon (Cor. 2. 10. 4), or, radius being equal to a side... | |
 | Rev. John Allen - 1822 - 508 síður
...squares, of the sides of a regular hexagon, and regular decagon, inscribed in the same circle. For the square of the side of the pentagon, is equal to the squares of the radius and the side of the decagon (Cor. 2. 10. 4), or, radius being equal to a side... | |
 | 1827 - 486 síður
...equal to radius, it appears from the two last Corollaries that the square of the side of an ordinate pentagon is equal to the sum of the squares of the sides of an ordinate hexagon and decagon inscribed in the same circle. And these principles suggest the following... | |
 | Samuel H. Winter - 1877 - 452 síður
...polygon of n sides inscribed in a given circle ; and show that the square of the side of the inscribed pentagon is equal to the sum of the squares of the sides of the inscribed hexagon d decagon. XLVni. 1. If the side BC of a triangle ABC is bisected in D, prove that... | |
 | A. Dawson Clarke - 1885 - 434 síður
...regular polygon of n sides inscribed in a circle ; and show that the square of the side of the inscribed pentagon is equal to the sum of the squares of the sides of the inscribed hexagon and decagon. XXIII. 1. Explain how the foreign or French method of measuring angles... | |
 | Euclid - 1908 - 576 síður
...alternately and inversely, = G- : F-. G'-.E 1 ^ F- :(C& + BLP). But F' 1 = £C*+ CZP; for the square on the side of the pentagon is equal to the sum of the squares on the sides of the hexagon and decagon inscribed in the same circle. [xm. 10] Therefore G... | |
 | Euclid - 1908 - 594 síður
...alternately and inversely, = G>:f. G*:£ i = F°-: (C& + BD>). But F' 1 = £C- + CD 1 ; for the square on the side of the pentagon is equal to the sum of the squares on the sides of the hexagon and decagon inscribed in the same circle. [XIIL 10] Therefore G*... | |
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That is, the square of the side of the pentagon is equal to the sum of the squares of the sides of the 