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 93
Side 23
... equal angles in each triangle be equal to one another ; viz . , AB to DE . Then their other sides are equal ; viz . , AC to DF and BC to EF . And the third angle BAC is equal to the third angle EDF . For , if BC be not equal to EF , one ...
... equal angles in each triangle be equal to one another ; viz . , AB to DE . Then their other sides are equal ; viz . , AC to DF and BC to EF . And the third angle BAC is equal to the third angle EDF . For , if BC be not equal to EF , one ...
Side 73
... equal to each other . The are BK C is equal to the arc ELF . Join BC and E F. Because the circles A B C and DEF are equal , the straight lines drawn from their centres ( III . Def . 1 ) are equal ; therefore the two sides B G and G C ...
... equal to each other . The are BK C is equal to the arc ELF . Join BC and E F. Because the circles A B C and DEF are equal , the straight lines drawn from their centres ( III . Def . 1 ) are equal ; therefore the two sides B G and G C ...
Side 74
... equal circles , equal straight lines cut off equal arcs , the greater equal to the greater , and the less to the less . Let A B C and D E F be equal circles , and BC and E F equal straight lines in them , which cut off the two greater ...
... equal circles , equal straight lines cut off equal arcs , the greater equal to the greater , and the less to the less . Let A B C and D E F be equal circles , and BC and E F equal straight lines in them , which cut off the two greater ...
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The Elements of Geometry. The First Six Books, with the Eleventh and Twelfth ... Euclid Uten tilgangsbegrensning - 1855 |
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