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 12
Side 194
... prism GFCH KL ; and the pyramid A EG H is equal to the pyramid HKL D. Therefore the two prisms EBF GHK and GFCHKL ... prism LX COMN is to the prism RVFSTY . Because the two prisms in the pyramid ABCG are equal to one another , and the ...
... prism GFCH KL ; and the pyramid A EG H is equal to the pyramid HKL D. Therefore the two prisms EBF GHK and GFCHKL ... prism LX COMN is to the prism RVFSTY . Because the two prisms in the pyramid ABCG are equal to one another , and the ...
Side 195
... prism RVFSTY . But it has been proved that the prism LXCOMN is to the prism RVFSTY , as the base ABC is to the base DEF . Therefore , the base ABC is to the base DEF , as the two prisms in the pyramid ABCG is to the two prisms in the ...
... prism RVFSTY . But it has been proved that the prism LXCOMN is to the prism RVFSTY , as the base ABC is to the base DEF . Therefore , the base ABC is to the base DEF , as the two prisms in the pyramid ABCG is to the two prisms in the ...
Side 200
... prisms of the same altitude with the cone , the prism upon the inscribed square A B C D is the half of that which is upon the circumscribed square ; for they are to one another as their bases ( XI . 32 ) ; and so are also the third ...
... prisms of the same altitude with the cone , the prism upon the inscribed square A B C D is the half of that which is upon the circumscribed square ; for they are to one another as their bases ( XI . 32 ) ; and so are also the third ...
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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