The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 9
Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , cach to cach , namely , AB to DE , and AC to DF , and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ...
Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , cach to cach , namely , AB to DE , and AC to DF , and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ...
Página 28
Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE , and AC to DF , but ' the base BC greater than the base EF : the angle BAC shall be greater than the ...
Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE , and AC to DF , but ' the base BC greater than the base EF : the angle BAC shall be greater than the ...
Página 174
Let the triangles ABC , ACD , and the parallelograms EC , CF have the same altitude , namely , the perpendicular drawn from the point A to BD : as the base BC is to the base CD , so shall the triangle ABC be to the triangle ACD ...
Let the triangles ABC , ACD , and the parallelograms EC , CF have the same altitude , namely , the perpendicular drawn from the point A to BD : as the base BC is to the base CD , so shall the triangle ABC be to the triangle ACD ...
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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