The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 16
... angles are equal . Let the two straight lines A B , CD , cut one another in the point E. The angle A EC is equal to the angle D E B , and the angle ČEB to the angle A ED . Because ... opposite . Wherefore the angle B 16 EUCLID'S ELEMENTS .
... angles are equal . Let the two straight lines A B , CD , cut one another in the point E. The angle A EC is equal to the angle D E B , and the angle ČEB to the angle A ED . Because ... opposite . Wherefore the angle B 16 EUCLID'S ELEMENTS .
Σελίδα 24
... opposite angle EFG . But the angle A EF is equal ( Hyp . ) to the angle EF G. Therefore the angle A EF is both ... angles A E F , EFD , are called alternate angles , or more properly , interior alternate angles , because they are on ...
... opposite angle EFG . But the angle A EF is equal ( Hyp . ) to the angle EF G. Therefore the angle A EF is both ... angles A E F , EFD , are called alternate angles , or more properly , interior alternate angles , because they are on ...
Σελίδα 70
... angles BAC and BEC are equal , by the first case . Because CBED is greater than a semicircle , the angles CAD and ... opposite angles of any quadrilateral figure inscribed in a circle , are together equal to two right angles . Let ABCD ...
... angles BAC and BEC are equal , by the first case . Because CBED is greater than a semicircle , the angles CAD and ... opposite angles of any quadrilateral figure inscribed in a circle , are together equal to two right angles . Let ABCD ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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