The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 82
... taken within a circle , from which there fall more than two equal straight lines to the circum- ference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the circumference there ...
... taken within a circle , from which there fall more than two equal straight lines to the circum- ference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the circumference there ...
Página 142
... taken certain equimultiples K and L , and of B and D have been taken certain equimul- tiples G and H ; therefore if K be greater than G , L is greater than H ; and if equal , equal ; and if less , less . [ V. Definition 5 . But K and I ...
... taken certain equimultiples K and L , and of B and D have been taken certain equimul- tiples G and H ; therefore if K be greater than G , L is greater than H ; and if equal , equal ; and if less , less . [ V. Definition 5 . But K and I ...
Página 169
... taken two and two in order ; namely , let A be to B as E is to F , and B to as F is to G , and C to D as G is to H : A shall be to D as E is to H. A. B. C. D. E. F. G. H. For , because A , B , C are three magnitudes , and E , F , G ...
... taken two and two in order ; namely , let A be to B as E is to F , and B to as F is to G , and C to D as G is to H : A shall be to D as E is to H. A. B. C. D. E. F. G. H. For , because A , B , C are three magnitudes , and E , F , G ...
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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