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 163
... plane in which they are , that is , the plane B H. Therefore A F is perpendicular to the plane B H. Where- fore , from the given point A , above the plane BH , the straight line A F is drawn perpendicular to it . Q. E. F. PROP . XII ...
... plane in which they are , that is , the plane B H. Therefore A F is perpendicular to the plane B H. Where- fore , from the given point A , above the plane BH , the straight line A F is drawn perpendicular to it . Q. E. F. PROP . XII ...
Seite 165
... plane AB ( XI . 1 ) . Therefore the point K is in the plane A B. For the same reason , the point K is also in the plane CD . Wherefore the planes A B and CD being produced , meet one another . But they do not meet , because they are ...
... plane AB ( XI . 1 ) . Therefore the point K is in the plane A B. For the same reason , the point K is also in the plane CD . Wherefore the planes A B and CD being produced , meet one another . But they do not meet , because they are ...
Seite 166
... plane ; and any straight line FG in the plane DE , which is at right angles to CE , the common section of the planes , has been proved to be perpen- dicular to the other plane CK . Therefore the plane DE is at right angles to the plane ...
... plane ; and any straight line FG in the plane DE , which is at right angles to CE , the common section of the planes , has been proved to be perpen- dicular to the other plane CK . Therefore the plane DE is at right angles to the plane ...
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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