The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 108
But K together with D is equal to L ( Const . ) . Therefore E G is greater than L. But FG is not greater than L ( Const . ) ; and EG and FG were proved to be equi- multiples of AB and BC ; and L is a multiple of D ( Const . ) .
But K together with D is equal to L ( Const . ) . Therefore E G is greater than L. But FG is not greater than L ( Const . ) ; and EG and FG were proved to be equi- multiples of AB and BC ; and L is a multiple of D ( Const . ) .
Σελίδα 113
Again , because L M is the same multiple of C F , that M N is of FD ( Const . ) . Therefore L M is the same multiple of C F , that L N is of CD ( V. 1 ) . But L M was shown to be the same multiple of C F , that G K is of A B. Therefore ...
Again , because L M is the same multiple of C F , that M N is of FD ( Const . ) . Therefore L M is the same multiple of C F , that L N is of CD ( V. 1 ) . But L M was shown to be the same multiple of C F , that G K is of A B. Therefore ...
Σελίδα 147
Because E F and K M are each similar to D ( Const . ) . Therefore EF is similar to K M ( VI . 21 ) , and greater than it ( Const . ) . Wherefore the sides E G and G F of the parallelogram E F , are each greater than their homologous ...
Because E F and K M are each similar to D ( Const . ) . Therefore EF is similar to K M ( VI . 21 ) , and greater than it ( Const . ) . Wherefore the sides E G and G F of the parallelogram E F , are each greater than their homologous ...
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