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 15
... angle CBA be equal to the angle ABD , each of them is a right angle ( Def . 10 ) . But if the angles CBA , ABD , be unequal , from the point B draw BE at right angles ( I. 11 ) to CD . Therefore the angles CBE , EBD ( Def . 10 ) are two ...
... angle CBA be equal to the angle ABD , each of them is a right angle ( Def . 10 ) . But if the angles CBA , ABD , be unequal , from the point B draw BE at right angles ( I. 11 ) to CD . Therefore the angles CBE , EBD ( Def . 10 ) are two ...
Seite 27
... angles A CD , A C B are equal ( Ax . 2 ) to the three angles CA B , ABC , A CB . But the two angles ACD , ACB are equal ( I. 13 ) to two right angles . Therefore also the three angles C A B , ABC , A CB are equal ( Ax . 1 ) to two right ...
... angles A CD , A C B are equal ( Ax . 2 ) to the three angles CA B , ABC , A CB . But the two angles ACD , ACB are equal ( I. 13 ) to two right angles . Therefore also the three angles C A B , ABC , A CB are equal ( Ax . 1 ) to two right ...
Seite 76
... right angles ( I. 17 ) , and BAC has been proved to be a right angle . Therefore ABC is less than a right angle . Wherefore the angie in a segment A B C greater than a semicircle is less than a right angle . Because ABCD is a ...
... right angles ( I. 17 ) , and BAC has been proved to be a right angle . Therefore ABC is less than a right angle . Wherefore the angie in a segment A B C greater than a semicircle is less than a right angle . Because ABCD is a ...
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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