The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 5
... circle def , ae is equal to a d ; but the straight line c is likewise equal C d a e b to ad ; whence ae and c are each of them equal to ad ; therefore the straight line a e is equal ( 1 ax . ) BOOK I. PROPS . II . , III . 5.
... circle def , ae is equal to a d ; but the straight line c is likewise equal C d a e b to ad ; whence ae and c are each of them equal to ad ; therefore the straight line a e is equal ( 1 ax . ) BOOK I. PROPS . II . , III . 5.
Σελίδα 6
... likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz ...
... likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz ...
Σελίδα 8
... 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 ca , da terminated in the ...
... 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 ca , da terminated in the ...
Σελίδα 9
... likewise their sides terminated in the other extremity ; but this is impossible ( i . 7 ) ; therefore , if the base bc coincides with the base ef , the sides ba , a c , cannot but coincide with the sides ed , df ; wherefore likewise the ...
... likewise their sides terminated in the other extremity ; but this is impossible ( i . 7 ) ; therefore , if the base bc coincides with the base ef , the sides ba , a c , cannot but coincide with the sides ed , df ; wherefore likewise the ...
Σελίδα 12
... likewise together equal to two right angles ; therefore the angles c ba , a be are equal to the angles c ba , abd : take away the common angle cba , the remaining angle a be is equal ( 3 ax . ) to the remaining angle ab d , the less to ...
... likewise together equal to two right angles ; therefore the angles c ba , a be are equal to the angles c ba , abd : take away the common angle cba , the remaining angle a be is equal ( 3 ax . ) to the remaining angle ab d , the less to ...
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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