The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 140
... multiple of A that GH is of C , [ Hypothesis . as many magnitudes as there are in EF equal to A , so many arc there ... multiple of B that C is of D , [ Hypothesis . and that EK is equal to A , and GL is equal to C ; [ Constr . therefore ...
... multiple of A that GH is of C , [ Hypothesis . as many magnitudes as there are in EF equal to A , so many arc there ... multiple of B that C is of D , [ Hypothesis . and that EK is equal to A , and GL is equal to C ; [ Constr . therefore ...
Página 147
... multiple , or a part , of the second , the third shall be the same multiple , or the same part , of the fourth . Let A be to B as C is to D. And first , let A be a multiple of B : C shall be the same multiple of D. Take E equal to A ...
... multiple , or a part , of the second , the third shall be the same multiple , or the same part , of the fourth . Let A be to B as C is to D. And first , let A be a multiple of B : C shall be the same multiple of D. Take E equal to A ...
Página 151
... multiple of C , such that the multiple of A is greater than the multiple of C , but the multiple of B is not greater than the multiple of C. Let such multiples be taken ; and let D and E be the equimultiples of A and B , and F the ...
... multiple of C , such that the multiple of A is greater than the multiple of C , but the multiple of B is not greater than the multiple of C. Let such multiples be taken ; and let D and E be the equimultiples of A and B , and F 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