The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 26.
Σελίδα 2
A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . XX . Rectilineal figures , are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
A segment of a circle is the figure contained by a straight line , and the circumference it cuts off . XX . Rectilineal figures , are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
Σελίδα 10
By help of this problem , it may be demonstrated , that two straight lines cannot have a common segment . If it be possible , let the two straight lines a b c , abd have the segment a b common to both of them .
By help of this problem , it may be demonstrated , that two straight lines cannot have a common segment . If it be possible , let the two straight lines a b c , abd have the segment a b common to both of them .
Σελίδα 46
If a straight line be drawn from the vertex of an isosceles triangle to any point in the base , the square described on this line , together with the rectangle contained by the segments of the base , is equal to the square described ...
If a straight line be drawn from the vertex of an isosceles triangle to any point in the base , the square described on this line , together with the rectangle contained by the segments of the base , is equal to the square described ...
Σελίδα 47
V. And the straight line on which the greater perpendicular falls is said to be farther from the centre . Definitions IV . and V. VI . A segment of a circle is the figure contained by a straight line and the circumference it cuts off .
V. And the straight line on which the greater perpendicular falls is said to be farther from the centre . Definitions IV . and V. VI . A segment of a circle is the figure contained by a straight line and the circumference it cuts off .
Σελίδα 48
The angle of a segment is that which is contained by the straight line and the circumference . VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the ...
The angle of a segment is that which is contained by the straight line and the circumference . VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the ...
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a b c angle a b c angle bac base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equal to f equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given straight line greater half ILLUSTRATED inscribe join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals PROPOSITION ratio reason rectangle contained rectilineal figure remaining angle right angles segment shewn sides similar square square of a c straight line a b Take taken third touches the circle triangle triangle a b c wherefore whole