The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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PROP . A. THEOREM .-- If any chord of a circle be produced , till the part produced be equal to the radius of the circle ; and , if from the outward extremity of this secant , another secant be drawn through the centre of the circle ...
PROP . A. THEOREM .-- If any chord of a circle be produced , till the part produced be equal to the radius of the circle ; and , if from the outward extremity of this secant , another secant be drawn through the centre of the circle ...
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Prop . B. Book V. XV . Componendo , by composition ; when there are four proportionals , and it is inferred that the first together with the second , is to the second , as the third together with the fourth , is to the fourth . - Prop .
Prop . B. Book V. XV . Componendo , by composition ; when there are four proportionals , and it is inferred that the first together with the second , is to the second , as the third together with the fourth , is to the fourth . - Prop .
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PROP . XII . PROBLEM . To find a fourth proportional to three given straight lines . Let A , B , and C be the three given straight lines . It is required to find a fourth proportional to A , B , and C. Take two straight lines D E and ...
PROP . XII . PROBLEM . To find a fourth proportional to three given straight lines . Let A , B , and C be the three given straight lines . It is required to find a fourth proportional to A , B , and C. Take two straight lines D E and ...
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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