The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 sider |
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Side 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 the ...
... 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 the ...
Side 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 ...
Side 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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The Elements of Geometry. The First Six Books, with the Eleventh and Twelfth ... Euclid Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C 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 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