The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Σελίδα 30
... likewise to the angle d ; the angle abm is equal to the angle d Therefore the parallelogram 1b is applied to the straight line a b , is equal to the triangle c , and has the angle a bm equal to the angle d . Which was to be done ...
... likewise to the angle d ; the angle abm is equal to the angle d Therefore the parallelogram 1b is applied to the straight line a b , is equal to the triangle c , and has the angle a bm equal to the angle d . Which was to be done ...
Σελίδα 31
... likewise all its angles are right angles ; a because the straight line ad meeting the parallels ab , de , the angles bad , ade are equal ( i . 29 ) to two right angles : but bad is a right angle ; therefore also ade is a right angle ...
... likewise all its angles are right angles ; a because the straight line ad meeting the parallels ab , de , the angles bad , ade are equal ( i . 29 ) to two right angles : but bad is a right angle ; therefore also ade is a right angle ...
Σελίδα 37
... likewise rectangular ; for cg is parallel to bk , and cb meets them ; the angles d ' kbc , gcb are therefore equal to two right angles ; and kbc is a right angle ; wherefore gcb is a right angle : and therefore also the angles ( i . 34 ) ...
... likewise rectangular ; for cg is parallel to bk , and cb meets them ; the angles d ' kbc , gcb are therefore equal to two right angles ; and kbc is a right angle ; wherefore gcb is a right angle : and therefore also the angles ( i . 34 ) ...
Σελίδα 41
... likewise double of the square of a c ; therefore the squares of a e , ef are double of the squares of ac , cd : and the square of af is equal ( i . 47 ) to the squares of a e , ef because a ef is a right angle ; therefore the square of ...
... likewise double of the square of a c ; therefore the squares of a e , ef are double of the squares of ac , cd : and the square of af is equal ( i . 47 ) to the squares of a e , ef because a ef is a right angle ; therefore the square of ...
Σελίδα 47
... likewise coincide , since the straight lines from the centres are equal . II . A straight line is said to touch a circle when it meets the circle , and being produced does not cut it . III . Circles are said to touch one another , which ...
... likewise coincide , since the straight lines from the centres are equal . II . A straight line is said to touch a circle when it meets the circle , and being produced does not cut it . III . Circles are said to touch one another , which ...
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