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 166
... angles to their common section , are also at right angles ( XI . Def . 4 ) to the other plane ; and any straight ... three plane angles , any two of them are greater than the third . Let the solid angle at A be contained by the three ...
... angles to their common section , are also at right angles ( XI . Def . 4 ) to the other plane ; and any straight ... three plane angles , any two of them are greater than the third . Let the solid angle at A be contained by the three ...
Σελίδα 174
... three planes of the solid LP are equal and similar to three planes of the solid K R , as also to three planes of the ... angles are contained by more than three plane angles ; therefore the three solids LP , KR , and A V are equal ( XI ...
... three planes of the solid LP are equal and similar to three planes of the solid K R , as also to three planes of the ... angles are contained by more than three plane angles ; therefore the three solids LP , KR , and A V are equal ( XI ...
Σελίδα 185
... plane angles , there be drawn two straight lines elevated above the planes in which the angles are , and containing ... three plane angles BA C , BAH , HAĆ , which are equal , each to cach , to the three plane angles EDF , EDM , MDF ...
... plane angles , there be drawn two straight lines elevated above the planes in which the angles are , and containing ... three plane angles BA C , BAH , HAĆ , which are equal , each to cach , to the three plane angles EDF , EDM , MDF ...
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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