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 , ACB are equal ( Ax . 2 ) to the three angles CA B , ABC , ACB . But the two angles A CD , 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 , ACB are equal ( Ax . 2 ) to the three angles CA B , ABC , ACB . But the two angles A CD , 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 angle in a segment ABC 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 angle in a segment ABC 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 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