The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 6 - 10 από τα 88.
Σελίδα 10
... 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 each ; and the angle acd is equal to the angle bed ; therefore the base a d is ...
... 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 each ; and the angle acd is equal to the angle bed ; therefore the base a d is ...
Σελίδα 12
... equal to the two angles dbe , eba , add to these equals the angle a bc , therefore the angles dba , abc are equal to the three angles dbe , eba , abc but the angles cbe , ebd have been demonstrated to be equal to the same three angles ...
... equal to the two angles dbe , eba , add to these equals the angle a bc , therefore the angles dba , abc are equal to the three angles dbe , eba , abc but the angles cbe , ebd have been demonstrated to be equal to the same three angles ...
Σελίδα 13
... equal ( 3 ax . ) to the remaining angle de b . In the same manner it can be demonstrated , that the angles ceb , aed ... b c be produced to d , the exterior angle a cd is greater than either of the interior opposite angles cba , bac . Bisect ...
... equal ( 3 ax . ) to the remaining angle de b . In the same manner it can be demonstrated , that the angles ceb , aed ... b c be produced to d , the exterior angle a cd is greater than either of the interior opposite angles cba , bac . Bisect ...
Σελίδα 14
... equal ( i . 5 ) to a bd , because the side a b is equal to the side ad ; therefore the angle abd is likewise greater than the angle a cb . Much greater then is the angle a bc than a cb . Therefore the greater side , & c . Q. E. D. b C ...
... equal ( i . 5 ) to a bd , because the side a b is equal to the side ad ; therefore the angle abd is likewise greater than the angle a cb . Much greater then is the angle a bc than a cb . Therefore the greater side , & c . Q. E. D. b C ...
Σελίδα 15
... bc ; but db is equal to ba and a c ; therefore the sides ba , a c are greater than bc . In the same manner it may be demonstrated , that the sides b , bc , are greater bc , ca greater than a b . two sides , & c . Q. E. D. than ca , and ...
... bc ; but db is equal to ba and a c ; therefore the sides ba , a c are greater than bc . In the same manner it may be demonstrated , that the sides b , bc , are greater bc , ca greater than a b . two sides , & c . Q. E. D. than ca , and ...
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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