The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 54
If a straight line be divided into any troo parts , the rectangles contained by the whole and each of the parts , are together ... Let the straight line AB be divided into any two parts at tho point C : the rectangle contained by AB ...
If a straight line be divided into any troo parts , the rectangles contained by the whole and each of the parts , are together ... Let the straight line AB be divided into any two parts at tho point C : the rectangle contained by AB ...
Página 109
3 . therefore the rectangle AE , EC , together with the square on ÉG , is D equal to the square on AG . [ 11. 5 . To each of these equals add the square on GF ; then the rectangle AE , EC , together with the squares on EG , GF , is ...
3 . therefore the rectangle AE , EC , together with the square on ÉG , is D equal to the square on AG . [ 11. 5 . To each of these equals add the square on GF ; then the rectangle AE , EC , together with the squares on EG , GF , is ...
Página 217
If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base , the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base , together with the ...
If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base , the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base , together with 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