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 34.
Σελίδα 33
... bisect a 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 ...
... bisect a 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 ...
Σελίδα 34
... bisected , the bisecting line will bisect the base , and be perpendicular to it . 23. In an isosceles triangle , if either of the equal sides be produced beyond the vertex , the line that bisects the exterior angle will be parallel to ...
... bisected , the bisecting line will bisect the base , and be perpendicular to it . 23. In an isosceles triangle , if either of the equal sides be produced beyond the vertex , the line that bisects the exterior angle will be parallel to ...
Σελίδα 38
... bisected , is equal to the square of the straight line which is made up of the half and the part produced . LET the straight line a b be bisected in c , and produced to the point d ; the rectangle ad , db , together with the square of ...
... bisected , is equal to the square of the straight line which is made up of the half and the part produced . LET the straight line a b be bisected in c , and produced to the point d ; the rectangle ad , db , together with the square of ...
Σελίδα 41
... bisected , and of the square of the line made up of the half and the part produced . LET the straight line ab be bisected in c and produced to the point d ; the squares of a d , db are double of the squares of a c , cd . f From the ...
... bisected , and of the square of the line made up of the half and the part produced . LET the straight line ab be bisected in c and produced to the point d ; the squares of a d , db are double of the squares of a c , cd . f From the ...
Σελίδα 42
... bisect ( i . 10 ) ac in e , and join be ; produce ca to f , and make ( i . 3 ) ef equal to e b , and upon af describe ... bisected in e , and produced to the point f , the rectangle cf , fa , together with the square of a e , is equal ...
... bisect ( i . 10 ) ac in e , and join be ; produce ca to f , and make ( i . 3 ) ef equal to e b , and upon af describe ... bisected in e , and produced to the point f , the rectangle cf , fa , together with the square of a e , is equal ...
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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