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 16.
Σελίδα 1
... extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . V. A superficies is that which hath only length and breadth . VI . The extremities of a superficies are lines . VII . A plane ...
... extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . V. A superficies is that which hath only length and breadth . VI . The extremities of a superficies are lines . VII . A plane ...
Σελίδα 2
... extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plain figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a ...
... extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plain figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a ...
Σελίδα 8
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity . d Ir it be possible , 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 ...
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity . d Ir it be possible , 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 ...
Σελίδα 9
... extremity ; but this is impossible ( i . 7 ) ; therefore , if the base bc coincides with the base ef , the sides ba , a c , cannot but coincide with the sides ed , df ; wherefore likewise the angle bac coincides with the angle e df ...
... extremity ; but this is impossible ( i . 7 ) ; therefore , if the base bc coincides with the base ef , the sides ba , a c , cannot but coincide with the sides ed , df ; wherefore likewise the angle bac coincides with the angle e df ...
Σελίδα 23
... extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel . LET ab , cd be equal and parallel straight lines , and joined towards the same parts by the straight lines ac , bd ; ac ...
... extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel . LET ab , cd be equal and parallel straight lines , and joined towards the same parts by the straight lines ac , bd ; ac ...
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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