The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 18.
Σελίδα 63
From the centre d , at the distance of any of the three da , db , dc , describe a circle ; this shall pass through the other points ; and the circle of which a b c is a segment is described . And because the centre d is in a c ...
From the centre d , at the distance of any of the three da , db , dc , describe a circle ; this shall pass through the other points ; and the circle of which a b c is a segment is described . And because the centre d is in a c ...
Σελίδα 64
From the centre e , at the distance of any of the three a e , eb , e c , describe a circle , this shall pass through the other points ; and the circle of which a b c is a segment is described .
From the centre e , at the distance of any of the three a e , eb , e c , describe a circle , this shall pass through the other points ; and the circle of which a b c is a segment is described .
Σελίδα 69
4 ) to the base gb : : and the circle described from the centre g , at the distance ga , shall pass through the point b ; let this be the circle a hb : and because from the point a , the extremity of the diameter a e , h a d is drawn at ...
4 ) to the base gb : : and the circle described from the centre g , at the distance ga , shall pass through the point b ; let this be the circle a hb : and because from the point a , the extremity of the diameter a e , h a d is drawn at ...
Σελίδα 70
a d If a c , bd pass each of them through the centre , so that e is the centre , it is evident that a e , ec , be , ed being all equal , the rectangle a e , ec , is likewise equal to the rectangle be , ed . b But let one of them bd pass ...
a d If a c , bd pass each of them through the centre , so that e is the centre , it is evident that a e , ec , be , ed being all equal , the rectangle a e , ec , is likewise equal to the rectangle be , ed . b But let one of them bd pass ...
Σελίδα 71
d : Lastly , let neither of the straight lines a c , bd pass through the centre : take the centre f , and through e , the intersection of the straight lines a c , db , draw the diameter gefh : and because the rectangle a e , ec , is ...
d : Lastly , let neither of the straight lines a c , bd pass through the centre : take the centre f , and through e , the intersection of the straight lines a c , db , draw the diameter gefh : and because the rectangle a e , ec , is ...
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a b c angle a b c angle bac base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equal to f equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given straight line greater half ILLUSTRATED inscribe join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals PROPOSITION ratio reason rectangle contained rectilineal figure remaining angle right angles segment shewn sides similar square square of a c straight line a b Take taken third touches the circle triangle triangle a b c wherefore whole