The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 89
... said to have to the last of them the ratio compounded of the ratio which the first has to the second , and of the ratio which the second has to the third , and of the ratio which the third has BOOK V. DEFINITIONS . 89 Definitions.
... said to have to the last of them the ratio compounded of the ratio which the first has to the second , and of the ratio which the second has to the third , and of the ratio which the third has BOOK V. DEFINITIONS . 89 Definitions.
Σελίδα 90
... compounded of the ratios of a to b , b to c , and c to d : And if a has to b the same ratio which e has to f ; and b ... compounded of ratios which are the same with the ratios of e to f , g to h , and k to 1. And the same thing is to be ...
... compounded of the ratios of a to b , b to c , and c to d : And if a has to b the same ratio which e has to f ; and b ... compounded of ratios which are the same with the ratios of e to f , g to h , and k to 1. And the same thing is to be ...
Σελίδα 112
... compounded of the same ratios are the same with one LET another . a be to bas d to e ; and b to c as e to f : the ratio which is com- pounded of the ratios of a to b , and b to c , which by the de- a b c finition of compound ratio , is ...
... compounded of the same ratios are the same with one LET another . a be to bas d to e ; and b to c as e to f : the ratio which is com- pounded of the ratios of a to b , and b to c , which by the de- a b c finition of compound ratio , is ...
Σελίδα 113
... compounded of ratios which are the same with the first ratios , each to each , is the same with the ratio compounded of ratios which are the same with the other ratios , each to each . a b c . d k l m no p LET a be to bas e to f ; and c ...
... compounded of ratios which are the same with the first ratios , each to each , is the same with the ratio compounded of ratios which are the same with the other ratios , each to each . a b c . d k l m no p LET a be to bas e to f ; and c ...
Σελίδα 114
... compounded of ratios which are the same with the first ratios , each to each , is the same with the ratio compounded of ratios which are the same , each to each , with the last ratios ; and if one of the first ratios , or the ratio ...
... compounded of ratios which are the same with the first ratios , each to each , is the same with the ratio compounded of ratios which are the same , each to each , with the last ratios ; and if one of the first ratios , or the ratio ...
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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