The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 140
... applied to the given straight line a b deficient by the parallelogram sr , similar to the given one d , because sr ... applied is required to be equal , and d the parallelogram to which the excess of the one to be applied above that upon ...
... applied to the given straight line a b deficient by the parallelogram sr , similar to the given one d , because sr ... applied is required to be equal , and d the parallelogram to which the excess of the one to be applied above that upon ...
Σελίδα 141
... applied the parallelogram ax equal to the given rectilineal c , exceeding by the paral- lelogram po , which is similar to d , because po is similar to el ( vi . 24 ) . Which was to be done . PROPOSITION XXX . - PROBLEM . To cut a given ...
... applied the parallelogram ax equal to the given rectilineal c , exceeding by the paral- lelogram po , which is similar to d , because po is similar to el ( vi . 24 ) . Which was to be done . PROPOSITION XXX . - PROBLEM . To cut a given ...
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a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc circumference bc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle