 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...circumscribed circles, and also as the radii DO, do of the inscribed circles. The surfaces of those polygons are to each other as the squares of the homologous sides AB, ab ; they are therefore likewise to each other as the squares of AO, ao the radii of the circumscribed... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...circumscribed circles, and also as the radii DO, do, of the inscribed circles. The surfaces of these same polygons are to each other as the squares of the homologous sides AB, ab (221); they are therefore also as the squares of the radii of the circumscribed circles AO,... | |
 | Adrien Marie Legendre - 1825 - 570 pages
...circumscribed circles, and also as the radii DO, do, of the inscribed circles. The surfaces of these same polygons are to each other as the squares of the homologous sides AB, ab (221); they are therefore also as the squares of the radii of the circumscribed circles A0,... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...circumscribed circles, and also as the radii DO, do, of the inscribed circles. The surfaces of these same polygons are to each other as the squares of the homologous sides AB, ab (221); they are therefore also as the squares of the radii of the circumscribed circles AO,... | |
 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...are to each other as the radii of the inscribed circles. But (Prop. XXI. B. VI.) the surfaces of the polygons are to each other as the squares of the homologous sides AB, ab ; or BC, be, and these are as the squares of the radii (Prop. IV. Cor. 1. B. VI.), consequently... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...circumscribed circles, and also, as the radii DO, do of the inscribed circles. The surfaces of these polygons are to each other as the squares of the homologous sides AB, ab ; they are therefore likewise to each other as the squares of AO, ao,the radii of the circumscribed... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...circumscribed circles, and also as the radii DO, do, of the inscribed circles. The surfaces of these same polygons are to each other as the squares of the homologous sides AH, ab (221) ; they are therefore also as the squares of the radii of the circumscribed circles AO,... | |
 | Nathan Scholfield - 1845 - 894 pages
...circumscribed circles, and also, as the radii DO, do, of the inscribed circles. The surfaces of these polygons are to each other as the squares of the homologous sides AB, ab ; they are thereforelikewise to each other as the squares of AO, ao, the radii of the circumscribed... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...circumscribed circles, and also, as the radii DO, do of the inscribed circles. The surfaces of these polygons are to each other as the squares of the homologous sides AB, ab ; they are therefore likewise to each other as the squares of AO, ao.the radii of the circumscribed... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...circumscribed circles, and also, as the radii DO, do, of the inscribed circles. The surfaces of these polygons are to each other as the squares of the homologous sides AB, ab (B. 1v., p. 27) ; they are therefore likewise to each other as the squares of AO, ao, the radii... | |
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The areas of similar polygons are to each other as the squares of the homologous sides of the polygons. Notions on surveying for content (arpentage'). 
