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 32.
Σελίδα 29
... parallelogram , are equal to one another . LET abcd be a parallelogram , of which the diameter is a c , and eh , fg , the pa- rallelograms about a c , that is , through which ac passes , and bk , kd , the other parallelograms which make ...
... parallelogram , are equal to one another . LET abcd be a parallelogram , of which the diameter is a c , and eh , fg , the pa- rallelograms about a c , that is , through which ac passes , and bk , kd , the other parallelograms which make ...
Σελίδα 30
... parallelogram equal to a b c d , and having an angle equal to e . Join db , and describe ( i . 42 ) the parallelogram fh equal to the triangle adb , and having the angle hkf equal to the angle e ; and to the straight line gh apply ( i ...
... parallelogram equal to a b c d , and having an angle equal to e . Join db , and describe ( i . 42 ) the parallelogram fh equal to the triangle adb , and having the angle hkf equal to the angle e ; and to the straight line gh apply ( i ...
Σελίδα 31
... parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be equal to a given rectilineal figure , viz . by applying ( i . 44 ) to the given straight line a parallelogram equal to the first triangle a bd ...
... parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be equal to a given rectilineal figure , viz . by applying ( i . 44 ) to the given straight line a parallelogram equal to the first triangle a bd ...
Σελίδα 32
... parallelogram bl is equal to the square gb : and , in the same manner , by joining a e , bk , it is demonstrated , that the parallelogram cl is equal to the square hc ; therefore the whole square bdec is equal to the two squares gb , hc ...
... parallelogram bl is equal to the square gb : and , in the same manner , by joining a e , bk , it is demonstrated , that the parallelogram cl is equal to the square hc ; therefore the whole square bdec is equal to the two squares gb , hc ...
Σελίδα 33
... parallelogram by a straight line drawn through a given point in one of its sides . 11. To inscribe a square in a parallelogram .. 12. Given a right - angled isosceles triangle to inscribe in it a square . 13. Given a finite straight ...
... parallelogram by a straight line drawn through a given point in one of its sides . 11. To inscribe a square in a parallelogram .. 12. Given a right - angled isosceles triangle to inscribe in it a square . 13. Given a finite straight ...
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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