The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
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Seite 85
... equiangular to the triangle D E F , and it is inscribed in the circle ABC . Q. E. F. Exercise . If a triangle be inscribed in one of two concentric circles , equiangular to a given triangle , it is required to inscribe the same in ...
... equiangular to the triangle D E F , and it is inscribed in the circle ABC . Q. E. F. Exercise . If a triangle be inscribed in one of two concentric circles , equiangular to a given triangle , it is required to inscribe the same in ...
Seite 130
... equiangular , and the angle ABC is equal to the angle DEF , and the angle A CB to the angle DFE . At the points D and F , in the straight line DF , make the angle FDG equal to either of the angles B A C or EDF ( I. 23 ) ; and the angle ...
... equiangular , and the angle ABC is equal to the angle DEF , and the angle A CB to the angle DFE . At the points D and F , in the straight line DF , make the angle FDG equal to either of the angles B A C or EDF ( I. 23 ) ; and the angle ...
Seite 138
... equiangular K to the triangle FCD . Again , at the points G and B , in the straight line G B , make the angle BG H equal to the angle DFE ( I. 23 ) , and the angle G B H equal to the angle FDE . Because the remaining angle GH B is equal ...
... equiangular K to the triangle FCD . Again , at the points G and B , in the straight line G B , make the angle BG H equal to the angle DFE ( I. 23 ) , and the angle G B H equal to the angle FDE . Because the remaining angle GH B is equal ...
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Häufige Begriffe und Wortgruppen
A B and CD A B C D A B is equal adjacent angles altitude angle ABC base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid A B solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore