The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 135
When of the equimultiples of four magnitudes , taken as in the fifth 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 ...
When of the equimultiples of four magnitudes , taken as in the fifth 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 ...
Página 252
The first seven definitions have given rise to considerable discussion , on which however we do not propose to enter . ... or of a straight line and a curved line ; this definition however is of no importance , as the only angles ever ...
The first seven definitions have given rise to considerable discussion , on which however we do not propose to enter . ... or of a straight line and a curved line ; this definition however is of no importance , as the only angles ever ...
Página 271
Different opinions have been held as to what is , or should be , included in the third definition of the third book . One opinion is that the definition only means that the circles do not cut in the neighbourhood of ...
Different opinions have been held as to what is , or should be , included in the third definition of the third book . One opinion is that the definition only means that the circles do not cut in the neighbourhood of ...
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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