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 25.
Σελίδα 31
... 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 , and having an angle equal to the given angle . PROPOSITION ...
... 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 , and having an angle equal to the given angle . PROPOSITION ...
Σελίδα 45
... rectilineal figure . LET a be the given rectilineal figure ; it is required to describe a square that shall be equal to a . Describe ( i . 45 ) the rectangular parallelogram bcde equal to the rectilineal figure a . If then the sides of ...
... rectilineal figure . LET a be the given rectilineal figure ; it is required to describe a square that shall be equal to a . Describe ( i . 45 ) the rectangular parallelogram bcde equal to the rectilineal figure a . If then the sides of ...
Σελίδα 68
... figure in a circle , the opposite angles bad , bcd are equal to two right angles ( iii . 23 ) : therefore the angles ... rectilineal angle . LET a b be the given straight line , and the angle at c the given recti- lineal angle ; it is ...
... figure in a circle , the opposite angles bad , bcd are equal to two right angles ( iii . 23 ) : therefore the angles ... rectilineal angle . LET a b be the given straight line , and the angle at c the given recti- lineal angle ; it is ...
Σελίδα 74
... If two circles cut each other , the straight line which joins their centres will bisect the straight line which joins the points of intersection . BOOK IV . DEFINITIONS . I. A RECTILINEAL figure is 74 THE ELEMENTS OF EUCLID .
... If two circles cut each other , the straight line which joins their centres will bisect the straight line which joins the points of intersection . BOOK IV . DEFINITIONS . I. A RECTILINEAL figure is 74 THE ELEMENTS OF EUCLID .
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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