The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 65
... square on EC is oqual to the square on CA ; therefore the squares on EC , CA are double of the square on CA. But the square on AE is equal to the squares on EC , CA. [ I . 47 . Therefore the square on AE is double of the square on AC ...
... square on EC is oqual to the square on CA ; therefore the squares on EC , CA are double of the square on CA. But the square on AE is equal to the squares on EC , CA. [ I . 47 . Therefore the square on AE is double of the square on AC ...
Página 111
... square on FC , is equal to the square on FĎ . To each of these equals add the square on FE . Therefore the rectangle AD , DC together with the squares on CF , FE , is equal to the squares on DF , FE . [ Axiom 2 . But the squares on CF ...
... square on FC , is equal to the square on FĎ . To each of these equals add the square on FE . Therefore the rectangle AD , DC together with the squares on CF , FE , is equal to the squares on DF , FE . [ Axiom 2 . But the squares on CF ...
Página 268
... square units contained in the rectangle . Next suppose we have a square , and let its side be 5 inches in length . Then , by our rule , the area of the square is 5 times 5 square inches , that is 25 square inches . Now the number 25 is ...
... square units contained in the rectangle . Next suppose we have a square , and let its side be 5 inches in length . Then , by our rule , the area of the square is 5 times 5 square inches , that is 25 square inches . Now the number 25 is ...
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Términos y frases comunes
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore