The Elements of Euclid, Libros 1-6;Libro 11 |
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Let ABCDE be the given equilateral and equiangular pentagon : it is required to describe a circle about it . Bisect the angles BCD , CDE by the straight lines CF , DF ; [ 1.9 . and from the point F , at which they meet , draw the ...
Let ABCDE be the given equilateral and equiangular pentagon : it is required to describe a circle about it . Bisect the angles BCD , CDE by the straight lines CF , DF ; [ 1.9 . and from the point F , at which they meet , draw the ...
Página 132
And equal arcs are subtended by equal straight lines ; [ 111.29 . therefore the six straight lines are equal to one another , and the hexagon is equilateral . It is also equiangular . For , the arc AF is equal to the arc ED ; F B to ...
And equal arcs are subtended by equal straight lines ; [ 111.29 . therefore the six straight lines are equal to one another , and the hexagon is equilateral . It is also equiangular . For , the arc AF is equal to the arc ED ; F B to ...
Página 133
To inscribe an equilateral and equiangular quindecagon in a given circle . Let ABCD be the given circle : it is required to inscribe an equilateral and equiangular quindecagon in the circle ABCD . Let AC be the side of an equilateral ...
To inscribe an equilateral and equiangular quindecagon in a given circle . Let ABCD be the given circle : it is required to inscribe an equilateral and equiangular quindecagon in the circle ABCD . Let AC be the side of an equilateral ...
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole