The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
Im Buch
Ergebnisse 1-3 von 75
Seite 162
... parallel to the two straight lines DE and E F , which meet one another , and are not in the same plane with A B and ... parallel to ED , therefore AD is ( I. 33 ) equal and parallel to BE . For the same reason , CF is equal and parallel ...
... parallel to the two straight lines DE and E F , which meet one another , and are not in the same plane with A B and ... parallel to ED , therefore AD is ( I. 33 ) equal and parallel to BE . For the same reason , CF is equal and parallel ...
Seite 164
... parallel . planes , & c . Q. E. D. PROP . X V. THEOREM . Therefore 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 . planes , & c . Q. E. D. PROP . X V. THEOREM . Therefore 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 ...
Andere Ausgaben - Alle anzeigen
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