The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 31
For if not , AB and CD , being produced , will meet either towards B , D or towards A , 0. Let them be produced and meet towards B , D at the point G. A B of > Therefore GEF is a triangle , and its exterior angle AEF is greater than the ...
For if not , AB and CD , being produced , will meet either towards B , D or towards A , 0. Let them be produced and meet towards B , D at the point G. A B of > Therefore GEF is a triangle , and its exterior angle AEF is greater than the ...
Página 33
But if a straight line meet two straight lines , so as to make the two interior angles on the same side of it , taken together , less than two right angles , these straight lines being continually produced , shall at length meet on that ...
But if a straight line meet two straight lines , so as to make the two interior angles on the same side of it , taken together , less than two right angles , these straight lines being continually produced , shall at length meet on that ...
Página 278
3 suppose AK produced to meet the circle again ; and at the point of intersection draw a straight line touching the circle ; this straight line with parts of NB and NC , will form a triangle , which will be equiangular to the triangle ...
3 suppose AK produced to meet the circle again ; and at the point of intersection draw a straight line touching the circle ; this straight line with parts of NB and NC , will form a triangle , which will be equiangular to the triangle ...
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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