The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 98
In equal circles , equal angles stand on equal arcs , whether they be at the centres or circumferences . Let ABC , DEF be equal circles ; and let BGC , EHP be equal angles in them at their centres , and BAC , EDF equal angles at their ...
In equal circles , equal angles stand on equal arcs , whether they be at the centres or circumferences . Let ABC , DEF be equal circles ; and let BGC , EHP be equal angles in them at their centres , and BAC , EDF equal angles at their ...
Página 100
In equal circles , equal straight lines cut off equal arcs , the greater equal to the greater , and the less equal to the less , Let ABC , DEF be equal circles , and BC , EF equal straight lines in them , which cut off the two greater ...
In equal circles , equal straight lines cut off equal arcs , the greater equal to the greater , and the less equal to the less , Let ABC , DEF be equal circles , and BC , EF equal straight lines in them , which cut off the two greater ...
Página 261
There are two other cases which will naturally occur to a student to consider besides those in Euclid ; namely , ( 1 ) when two triangles have the three angles of the one respectively equal to the three angles of the other , ( 2 ) when ...
There are two other cases which will naturally occur to a student to consider besides those in Euclid ; namely , ( 1 ) when two triangles have the three angles of the one respectively equal to the three angles of the other , ( 2 ) when ...
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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