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 34.
Σελίδα 9
... bisect a given rectilineal angle , that is , to divide it into two equal angles . LET bac be the given rectilineal ... bisected b by the straight line af . Which was to be done . a PROPOSITION X. - PROBLEM . To bisect a given finite ...
... bisect a given rectilineal angle , that is , to divide it into two equal angles . LET bac be the given rectilineal ... bisected b by the straight line af . Which was to be done . a PROPOSITION X. - PROBLEM . To bisect a given finite ...
Σελίδα 10
... bisect ( i . 9 ) the angle ac b by the straight line cd ab is cut into two equal parts in the point d . Because a c is equal to c b , and cd common to the two triangles acd , bcd ; the two sides a c , cd are equal to bc , cd , each to ...
... bisect ( i . 9 ) the angle ac b by the straight line cd ab is cut into two equal parts in the point d . Because a c is equal to c b , and cd common to the two triangles acd , bcd ; the two sides a c , cd are equal to bc , cd , each to ...
Σελίδα 11
... bisect ( i . 10 ) fg in h , and join cf , ch , cg ; the straight line ch , drawn from the given point c , is perpendicular to the given straight line a b a h f d g b Because fh is equal to hg , and he common to the two triangles fhc ...
... bisect ( i . 10 ) fg in h , and join cf , ch , cg ; the straight line ch , drawn from the given point c , is perpendicular to the given straight line a b a h f d g b Because fh is equal to hg , and he common to the two triangles fhc ...
Σελίδα 13
... Bisect ( i . 10 ) ac in e , join be and produce it to f , and make e f equal to be ; join also fc , and produce ac to ... bisected , it may be demon- strated that the angle bcg , that is , ( i . 15 ) the angle a cd , is greater than the ...
... Bisect ( i . 10 ) ac in e , join be and produce it to f , and make e f equal to be ; join also fc , and produce ac to ... bisected , it may be demon- strated that the angle bcg , that is , ( i . 15 ) the angle a cd , is greater than the ...
Σελίδα 28
... Bisect ( i . 10 ) bc in e , join a e , and at the point e in the straight line ec make ( i . 23 ) the angle cef equal to d ; and through a draw ( i . 31 ) a f g a ag parallel to e c , and through c draw cg pa- rallel to ef : therefore ...
... Bisect ( i . 10 ) bc in e , join a e , and at the point e in the straight line ec make ( i . 23 ) the angle cef equal to d ; and through a draw ( i . 31 ) a f g a ag parallel to e c , and through c draw cg pa- rallel to ef : therefore ...
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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