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 72.
Σελίδα 4
... LET ab be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre a ... abc shall be an equilateral triangle . Because the point a is the centre of the circle bcd , ac is equal ( 15 def ...
... LET ab be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre a ... abc shall be an equilateral triangle . Because the point a is the centre of the circle bcd , ac is equal ( 15 def ...
Σελίδα 5
... abc is therefore equilateral , and it is described upon the given straight line a b . Which was to be done . PROPOSITION II . - PROBLEM . From a given point to draw a straight line equal to a given straight line . LET a be the given ...
... abc is therefore equilateral , and it is described upon the given straight line a b . Which was to be done . PROPOSITION II . - PROBLEM . From a given point to draw a straight line equal to a given straight line . LET a be the given ...
Σελίδα 6
... LET abc , def be two triangles , which have the two sides a b , ac equal to the two sides de , df , each to each , viz . ab to de , and a c to df ; and the angle bac equal to the angle edf , the base bc shall be equal to the base ef ...
... LET abc , def be two triangles , which have the two sides a b , ac equal to the two sides de , df , each to each , viz . ab to de , and a c to df ; and the angle bac equal to the angle edf , the base bc shall be equal to the base ef ...
Σελίδα 7
... LET abc be a triangle having the angle abc equal to the angle acb ; the side a b is also equal to the side a c . For , if a b be not equal to a c , one of them is greater than the other : let ab be the greater ; and from it cut ( i . 3 ) ...
... LET abc be a triangle having the angle abc equal to the angle acb ; the side a b is also equal to the side a c . For , if a b be not equal to a c , one of them is greater than the other : let ab be the greater ; and from it cut ( i . 3 ) ...
Σελίδα 8
... let there be two triangles a c b , a d b , upon the same base a b , and upon the same side of it , which have their ... abc , def be two triangles , having the two sides a b , ac , equal to the two sides de , df , each to each 8 THE ...
... let there be two triangles a c b , a d b , upon the same base a b , and upon the same side of it , which have their ... abc , def be two triangles , having the two sides a b , ac , equal to the two sides de , df , each to each 8 THE ...
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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