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 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 ...
Σελίδα 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 ...
Σελίδα 166
... plane ; and any straight line F G in the plane D E , 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 ; and any straight line F G in the plane D E , 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 ...
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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 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