The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 sider |
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Resultat 1-3 av 84
Side 58
... Wherefore AB is bisected at F. Wherefore , if a straight line , & c . Q. E. D. Corollary . If there be any number of parallel chords in a circle , the diameter perpendicular to one of them bisects all of them . Exercise . If a straight ...
... Wherefore AB is bisected at F. Wherefore , if a straight line , & c . Q. E. D. Corollary . If there be any number of parallel chords in a circle , the diameter perpendicular to one of them bisects all of them . Exercise . If a straight ...
Side 148
... Wherefore EL and M N are about the same diagonal F X. Produce LB to P , and AB to O. The straight line AB is produced to O as re- quired ( IV . 26 ) . L M E B N P Because A E is equal to Because G H is equal to EL and C together , and ...
... Wherefore EL and M N are about the same diagonal F X. Produce LB to P , and AB to O. The straight line AB is produced to O as re- quired ( IV . 26 ) . L M E B N P Because A E is equal to Because G H is equal to EL and C together , and ...
Side 159
... Wherefore the base GF is equal ( I. 4 ) to the base FH . But it has been proved that GE is equal to EH , and E Fis common . Therefore G E and E F are equal to H E and E F , each to each ; and the base GF is equal to the base F H. Wherefore ...
... Wherefore the base GF is equal ( I. 4 ) to the base FH . But it has been proved that GE is equal to EH , and E Fis common . Therefore G E and E F are equal to H E and E F , each to each ; and the base GF is equal to the base F H. Wherefore ...
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The Elements of Geometry. The First Six Books, with the Eleventh and Twelfth ... Euclid Uten tilgangsbegrensning - 1855 |
The Elements of Geometry: Or, The First Six Books, with the Eleventh and ... Euclid Utdragsvisning - 1859 |
Vanlige uttrykk og setninger
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