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 155
... solid angle is that which is made by the meeting of more than two plane angles in one point , but which are not in the same plane . The term solid , here applied to an angle , merely indicates that the angle described belongs to a solid ...
... solid angle is that which is made by the meeting of more than two plane angles in one point , but which are not in the same plane . The term solid , here applied to an angle , merely indicates that the angle described belongs to a solid ...
Seite 172
... angle CA E is equal to the angle FBH . Therefore the straight line A E shall coincide with the straight line BH . But A D coincides with BG . Therefore the plane EAD coincides with the plane HBG . Wherefore the solid angle at A ...
... angle CA E is equal to the angle FBH . Therefore the straight line A E shall coincide with the straight line BH . But A D coincides with BG . Therefore the plane EAD coincides with the plane HBG . Wherefore the solid angle at A ...
Seite 174
... solid LP are equal and similar to three planes of the solid K R , as also to three planes of the solid A V. But the ... angle equal to a given solid angle contained by three plane angles . Let A B be a given straight line , A a given ...
... solid LP are equal and similar to three planes of the solid K R , as also to three planes of the solid A V. But the ... angle equal to a given solid angle contained by three plane angles . Let A B be a given straight line , A a given ...
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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