The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 135
... fourth ; and the third is said to have to the fourth a less ratio than the first has to the second . 8. Analogy , or proportion , is the similitude of ratios . 9. Proportion consists in three terms at least . 10. When three magnitudes ...
... fourth ; and the third is said to have to the fourth a less ratio than the first has to the second . 8. Analogy , or proportion , is the similitude of ratios . 9. Proportion consists in three terms at least . 10. When three magnitudes ...
Página 136
... fourth . V. 16 . 14. Invertendo , by inversion ; when there are four proportionals , and it is inferred , that the second is to the first as the fourth is to the third . V. B. 15. Componendo , by composition ; when there are four ...
... fourth . V. 16 . 14. Invertendo , by inversion ; when there are four proportionals , and it is inferred , that the second is to the first as the fourth is to the third . V. B. 15. Componendo , by composition ; when there are four ...
Página 171
... fourth , and the fifth have to the second the same ratio which the sixth has to the fourth , then the first and fifth together shall have to the second the same ratio which the third and sixth together have to the fourth . Let AB the ...
... fourth , and the fifth have to the second the same ratio which the sixth has to the fourth , then the first and fifth together shall have to the second the same ratio which the third and sixth together have to the fourth . Let AB the ...
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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