The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 135
... definition , the multiple of the first is greater than the multiple of the second , but the multiple of the third is not greater than the multiple of the fourth , then the first is said to have to the second a greater ratio than the ...
... definition , the multiple of the first is greater than the multiple of the second , but the multiple of the third is not greater than the multiple of the fourth , then the first is said to have to the second a greater ratio than the ...
Página 252
... definition however is of no importance , as the only angles ever considered are such as are formed by straight lines . The definition of a plane rectilineal angle is important ; the beginner must carefully observe that no change is made ...
... definition however is of no importance , as the only angles ever considered are such as are formed by straight lines . The definition of a plane rectilineal angle is important ; the beginner must carefully observe that no change is made ...
Página 271
... definition of the third book . One opinion is that the definition only means that the circles do not cut in the neighbourhood of the point of contact , and that it must be shewn that they do not cut elsewhere . Another opinion is that ...
... definition of the third book . One opinion is that the definition only means that the circles do not cut in the neighbourhood of the point of contact , and that it must be shewn that they do not cut elsewhere . Another opinion is that ...
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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