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 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 ...
Σελίδα 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 ...
Σελίδα 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 angle B A C 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 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