The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 Seiten |
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Seite 89
... equimultiples what- soever of the first and third being taken , and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second , the multiple of the third is also less than that ...
... equimultiples what- soever of the first and third being taken , and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second , the multiple of the third is also less than that ...
Seite 91
... Equimultiples of the same or of equal magnitudes are equal to one another . II . Those magnitudes of which the same or equal magnitudes are equimultiples are equal to one another . III . A multiple of a greater magnitude is greater than ...
... Equimultiples of the same or of equal magnitudes are equal to one another . II . Those magnitudes of which the same or equal magnitudes are equimultiples are equal to one another . III . A multiple of a greater magnitude is greater than ...
Seite 92
... equimultiples , these shall be equimultiples , the one of the second , and the other of the fourth . LET a the first , be the same multiple of b the second , that c the third is of d the fourth ; and of a , c , let the equimultiples ...
... equimultiples , these shall be equimultiples , the one of the second , and the other of the fourth . LET a the first , be the same multiple of b the second , that c the third is of d the fourth ; and of a , c , let the equimultiples ...
Seite 93
... equimultiples of the second and fourth , viz . the equimultiple of the first shall have the same ratio to that of ... equimultiples what- ever e , f ; and of b and d any equimultiples whatever g , h : then e has the same ratio to g ...
... equimultiples of the second and fourth , viz . the equimultiple of the first shall have the same ratio to that of ... equimultiples what- ever e , f ; and of b and d any equimultiples whatever g , h : then e has the same ratio to g ...
Seite 94
... equimultiples k , 1 : and of b and d have been taken certain equimultiples m , n ; if therefore k be greater than m , 1 is greater than n and if equal , equal ; if less , less ( v . def . 5 ) . And k , 1 are any equimultiples whatever ...
... equimultiples k , 1 : and of b and d have been taken certain equimultiples m , n ; if therefore k be greater than m , 1 is greater than n and if equal , equal ; if less , less ( v . def . 5 ) . And k , 1 are any equimultiples whatever ...
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Häufige Begriffe und Wortgruppen
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