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 24
... exterior angle AEF is greater ( I. 16 ) than its interior and opposite angle EFG . But the angle A EF is equal ( Hyp . ) to the angle EF G. Therefore the angle A EF is both greater than , and equal to the angle E F G ; which is ...
... exterior angle AEF is greater ( I. 16 ) than its interior and opposite angle EFG . But the angle A EF is equal ( Hyp . ) to the angle EF G. Therefore the angle A EF is both greater than , and equal to the angle E F G ; which is ...
Seite 27
... exterior angle E C D is equal ( I. 29 ) to the interior and opposite angle A B C. But the angle A CE was shown to be equal to the angle BA C. Therefore the whole exterior angle A CD is equal ( Ax . 2 ) to the two interior and ...
... exterior angle E C D is equal ( I. 29 ) to the interior and opposite angle A B C. But the angle A CE was shown to be equal to the angle BA C. Therefore the whole exterior angle A CD is equal ( Ax . 2 ) to the two interior and ...
Seite 127
... exterior angle of the triangle . Let A B C be a triangle , having one of its sides B A produced to E ; and let the outward angle CA E be bisected by the straight line A D which meets the base produced in D. The segment BD is to the ...
... exterior angle of the triangle . Let A B C be a triangle , having one of its sides B A produced to E ; and let the outward angle CA E be bisected by the straight line A D which meets the base produced in D. The segment BD is to the ...
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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