The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 82
THEOREM , If a point be taken within a circle , from which there falt more than two equal straight lines to the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the ...
THEOREM , If a point be taken within a circle , from which there falt more than two equal straight lines to the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the ...
Página 142
Let A the first have the same ratio to B the second , that the third has to D the fourth ; and of A and C let there be taken any equimultiples whatever E and F : E shall be to B as F is to D. Take of E and F any equimultiples whatever K ...
Let A the first have the same ratio to B the second , that the third has to D the fourth ; and of A and C let there be taken any equimultiples whatever E and F : E shall be to B as F is to D. Take of E and F any equimultiples whatever K ...
Página 169
I there be any number of magnitudes , and as many others , which have the same ratio , taken two and two in a cross order , the first shall have to the last of the first magnitudes the same ratio which the first of the others has to the ...
I there be any number of magnitudes , and as many others , which have the same ratio , taken two and two in a cross order , the first shall have to the last of the first magnitudes the same ratio which the first of the others has to the ...
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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