The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 135
... third has to the 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 ...
... third has to the 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 ...
Página 141
... third has to D the fourth ; and of A and C let there be taken any equimultiples whatever E and F , and of B and D ... third has to the fourth , then any equi- multiples whatever of the first and third shall have the same ratio to the ...
... third has to D the fourth ; and of A and C let there be taken any equimultiples whatever E and F , and of B and D ... third has to the fourth , then any equi- multiples whatever of the first and third shall have the same ratio to the ...
Página 240
... third plane , and let BD be the common section of the planes BA , BC : BD shall be perpendicular to the third plane . For , if not , from the point D , draw in the plane BA , the straight line DE at right angles to AD , the common ...
... third plane , and let BD be the common section of the planes BA , BC : BD shall be perpendicular to the third plane . For , if not , from the point D , draw in the plane BA , the straight line DE at right angles to AD , the common ...
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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