The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 42
If there be two straight lines , one of which is 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 ...
If there be two straight lines , one of which is 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 ...
Σελίδα 136
If four straight lines be proportionals , the rectangle contained by the extremes is equal to the rectangle contained by the means ; and conversely , if the rectangle contained by the extremes be equal to the rectangle contained by the ...
If four straight lines be proportionals , the rectangle contained by the extremes is equal to the rectangle contained by the means ; and conversely , if the rectangle contained by the extremes be equal to the rectangle contained by the ...
Σελίδα 137
If three straight lines be proportionals , the rectangle contained by the extremes is equal to the square of the mean ; and conversely , if the rectangle contained by the extremes be equal to the square of the mean , the three straight ...
If three straight lines be proportionals , the rectangle contained by the extremes is equal to the square of the mean ; and conversely , if the rectangle contained by the extremes be equal to the square of the mean , the three straight ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole