The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
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Seite 42
... divided into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and B C be two straight lines ; and ...
... divided into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and B C be two straight lines ; and ...
Seite 43
... divided , & c . Q. E. D. This proposition is only another corollary to the first proposition ; for , when the undivided straight line mentioned in its enunciation is equal to one of the parts of the divided straight line , their ...
... divided , & c . Q. E. D. This proposition is only another corollary to the first proposition ; for , when the undivided straight line mentioned in its enunciation is equal to one of the parts of the divided straight line , their ...
Seite 133
... divided straight line . Let A B be the given straight line to be divided , and A C the given straight line , divided into parts at D and E. It is required to divide A B into parts proportional to the parts of A C. Place A B and AC so as ...
... divided straight line . Let A B be the given straight line to be divided , and A C the given straight line , divided into parts at D and E. It is required to divide A B into parts proportional to the parts of A C. Place A B and AC so as ...
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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