The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 1 - 5 από τα 6.
Σελίδα 34
... twice the line joining the vertex and the middle of the base .. 21. Each angle at the base of an isosceles triangle ... rectangle are equal to one another . 25. If any number of parallelograms be inscribed in a given parallelo- gram ...
... twice the line joining the vertex and the middle of the base .. 21. Each angle at the base of an isosceles triangle ... rectangle are equal to one another . 25. If any number of parallelograms be inscribed in a given parallelo- gram ...
Σελίδα 37
... twice the rectangle contained by the parts . LET the straight line ab be divided into any two parts in c ; the square of ab is equal to the squares of a c , cb , and to twice the rectangle con- tained by a c , cb . C a g c b k f Upon ab ...
... twice the rectangle contained by the parts . LET the straight line ab be divided into any two parts in c ; the square of ab is equal to the squares of a c , cb , and to twice the rectangle con- tained by a c , cb . C a g c b k f Upon ab ...
Σελίδα 39
... twice the rectangle contained by the whole and that part , together with the square of the other part . LET the straight line ab be divided into any two parts in the point c ; the squares of ab , bc are equal to twice the rectangle a b ...
... twice the rectangle contained by the whole and that part , together with the square of the other part . LET the straight line ab be divided into any two parts in the point c ; the squares of ab , bc are equal to twice the rectangle a b ...
Σελίδα 43
... rectangle cf , fa , together with the square of a e , is equal to the squares of ba , ae : take away the square of ... twice the rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight line ...
... rectangle cf , fa , together with the square of a e , is equal to the squares of ba , ae : take away the square of ... twice the rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight line ...
Σελίδα 44
... twice the rectangle cb , bd . b First , let ad fall within the triangle abc ; and because the straight a d line cb is divided into two parts in the point d , the squares of cb , bd , are equal ( ii . 7 ) to twice the rectangle contained ...
... twice the rectangle cb , bd . b First , let ad fall within the triangle abc ; and because the straight a d line cb is divided into two parts in the point d , the squares of cb , bd , are equal ( ii . 7 ) to twice the rectangle contained ...
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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