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 162
... parallel to the two straight lines D E and E F , which meet one another , and are not in the same plane with A B and ... parallel to AD is ( I. 33 ) equal and parallel to BE . reason , CF is equal and parallel to BE . and CF are each ...
... parallel to the two straight lines D E and E F , which meet one another , and are not in the same plane with A B and ... parallel to AD is ( I. 33 ) equal and parallel to BE . reason , CF is equal and parallel to BE . and CF are each ...
Seite 164
... parallel . Therefore planes , & c . Q. E. D. PROP . XV . THEOREM . Two planes are parallel , if two straight lines which meet each other in the one plane , be parallel to two straight lines which meet each other in the other plane . Let ...
... parallel . Therefore planes , & c . Q. E. D. PROP . XV . THEOREM . Two planes are parallel , if two straight lines which meet each other in the one plane , be parallel to two straight lines which meet each other in the other plane . Let ...
Seite 165
... parallel . Therefore E F is parallel to G H. Wherefore , if two parallel planes , & c . Q. E. D. PROP . XVII . THEOREM . If two straight lines be cut by parallel planes , they are cut in the same ratio . Let the straight lines A B and ...
... parallel . Therefore E F is parallel to G H. Wherefore , if two parallel planes , & c . Q. E. D. PROP . XVII . THEOREM . If two straight lines be cut by parallel planes , they are cut in the same ratio . Let the straight lines A B and ...
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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