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
... remaining angle BAC is equal ( I. 32 and Ax . 1 ) to the remaining angle EDF . Wherefore the triangle A B C is 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 ...
... remaining angle BAC is equal ( I. 32 and Ax . 1 ) to the remaining angle EDF . Wherefore the triangle A B C is 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 ...
Seite 130
... angle FDG equal to either of the angles B A C or EDF ( I. 23 ) ; and the angle DF G equal to the angle A CB . B CE Because the remaining angle at B is equal to the remaining angle at G ( I. 32 ) , the triangle DGF is equiangular to the ...
... angle FDG equal to either of the angles B A C or EDF ( I. 23 ) ; and the angle DF G equal to the angle A CB . B CE Because the remaining angle at B is equal to the remaining angle at G ( I. 32 ) , the triangle DGF is equiangular to the ...
Seite 138
... angle DCF ( I. 23 ) , and the angle A B G equal to the angle CDF . Be- cause the remaining angle A G B is equal to the remaining angle CFD ( I. 32 , and Ax . 3 ) . Therefore the triangle G A B is equiangular K to the triangle FCD ...
... angle DCF ( I. 23 ) , and the angle A B G equal to the angle CDF . Be- cause the remaining angle A G B is equal to the remaining angle CFD ( I. 32 , and Ax . 3 ) . Therefore the triangle G A B is equiangular K to the triangle FCD ...
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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 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