The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Σελίδα 6
... base b c shall coincide with the base ef , because the point b coinciding with e , and c with f , if the base b c does not coincide with the base e f , two straight lines would enclose a space , which is impossible ( 10 ax . ) . Therefore ...
... base b c shall coincide with the base ef , because the point b coinciding with e , and c with f , if the base b c does not coincide with the base e f , two straight lines would enclose a space , which is impossible ( 10 ax . ) . Therefore ...
Σελίδα 7
... base fc is equal ( i . 4 ) to the base gb , and the triangle afc to the triangle a gb ; and the remaining angles of the one are equal ( i . 4 ) to the remaining angles of the other , each to each , to which the equal sides are opposite ...
... base fc is equal ( i . 4 ) to the base gb , and the triangle afc to the triangle a gb ; and the remaining angles of the one are equal ( i . 4 ) to the remaining angles of the other , each to each , to which the equal sides are opposite ...
Σελίδα 8
... base equal to one another , and likewise those which are terminated in the other extremity . d Ir it be possible , let there be two triangles a c b , a d b , upon the same base a b , and upon the same side of it , which have their sides ...
... base equal to one another , and likewise those which are terminated in the other extremity . d Ir it be possible , let there be two triangles a c b , a d b , upon the same base a b , and upon the same side of it , which have their sides ...
Σελίδα 9
... base bc coincides with the base ef , but the sides ba , ca do not coincide with the sides ed , fd , but have a different situation , as eg , fg , then upon the same base ef , and upon the same side of it , there can be two triangles ...
... base bc coincides with the base ef , but the sides ba , ca do not coincide with the sides ed , fd , but have a different situation , as eg , fg , then upon the same base ef , and upon the same side of it , there can be two triangles ...
Σελίδα 10
... base a d is equal to the base ( i . 4 ) d b , and the b straight line a b is divided into two equal parts in the point d . Which was to be done . PROPOSITION XI . - PROBLEM . To draw a straight line at right angles to a given straight ...
... base a d is equal to the base ( i . 4 ) d b , and the b straight line a b is divided into two equal parts in the point d . Which was to be done . PROPOSITION XI . - PROBLEM . To draw a straight line at right angles to a given straight ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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