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Extra resources for [Article] On the Real Folds of Abelian Varieties

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U) + 1 (h - 2)' o bien, 16h2 + (k - 3 )' - ("-2+ + 9k2 - 106h - 142k + 24hk I jz + 324 = O. (h) Resolviendo el sistema de ecuaciones (u) y (b) se obtienen, para las coordenadas de los dos centros, los puntos (2, 8) Y (6/5, 12/5). 3h - 4k t 1 Para la circunferencia de centro (2, 8), r = -5 la misma es ( x - 2)' ( y - 8)' = 25. 6-32+1 - = 5 y la ecuación de -5 - + Para la de centro 20. Hallar la ecuación de la circunferencia tangente a las rectas x +y 4 = O y 7x-y 4 = O y que tenga su centro en la recta 4x 3y - 2 = O.

5. Hallar la ecuación de la parabola de foco el plinto (6, --2) y directrii la recta \ - - 2 - O. - _ _ i - 2 i ~ la c definición. \'(Y -- 6)2 (I. j 2)' 4) 4 - t L- 4 \ 4 Simplificando, ,v2 Elevando al ctiadraclo, t L - 1 2 \ - 36 - b L -8\ 36 O 1 4 4) f 6. Hallar la ecuacion de la parabola de vcrticc el puiito (2, 3 ) . ciicce La ecuación pedida es ( \ 7. d la curva. ( 4 2)L 2( I -- 4 4 5 -- 3 ) . de donde, 2)L 3). o bien, l 2- 4x -- 2j i IO I - ri 2' O Hallar la ecuación de la parábola de eje paralelo al de coordenadas x, y que pase por los punto5 (-2% l ) .

4y2 - 60x - 20y 225 == O. Sol. 4 2 d ) 1 5 ~ - - 8 ~ ~ + 2 5 = 0 ,3 . ~ - 4 y - 1 0 = 0 , y 5 x + l2y-30=0. ~ 392~ 2399 = O. Sol. 7 8 4 ~ ' 784~'- 8 9 6 - + + + + + + e) + + + + inscrita al triángulo de vértices (-I, Sol. P + 7 9 -3 4~ 48y 3), (3, 6) y + 103 = O. 6. Hallar la ecuación de la circunferencia de centro (- 2, 3) que sea tangente a la recta 20x- 42 = O. Sol. x2 ya 4x - 6~ - 12 O. + + 21y 7. Hallar la ecuación de la circunferencia de centro el origen que sea tangente a la recta 8x - 15y - 12=0.

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[Article] On the Real Folds of Abelian Varieties by Lefschetz S.


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