The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 24
For the same reason , the exterior angle CEB of the triangle ABE is greater than the angle BAE . But it has been shewn that tho angle BDC is greater than the anglo CEB ; much more then is the anglc BDC greater than the angle BAC .
For the same reason , the exterior angle CEB of the triangle ABE is greater than the angle BAE . But it has been shewn that tho angle BDC is greater than the anglo CEB ; much more then is the anglc BDC greater than the angle BAC .
Página 32
E Let the straight line EF , which falls on the two straight lines AB , CD , make the exterior angle EGB equal to the interior and opposite angle GHD on the same side , or make the interior angles on the same side BGH , GHD together ...
E Let the straight line EF , which falls on the two straight lines AB , CD , make the exterior angle EGB equal to the interior and opposite angle GHD on the same side , or make the interior angles on the same side BGH , GHD together ...
Página 35
If a side of any triangle be produced , the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles . Let ABC be a triangle , and let one ...
If a side of any triangle be produced , the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles . Let ABC be a triangle , and let one ...
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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