 | Thomas Keith - 1817 - 306 páginas
...to meet the asymptotes of the curve; the rectangle contained by the segments of this line, between the curve and the asymptotes, is equal to the square of the semi-C9njugate axis. Viz. If OM and o N be the asymptotes to the curve TBS, in in the conjugate axis,... | |
 | Michel Chasles - 1837 - 564 páginas
...will be a tangent at P, and PL = PI. b'* Also RQxQr = j?P-QF2= — {х< - (a? - a'2)} = Ь"=С1У. Hence when a line cutting the hyperbola is parallel...of P, and equals ab (Art. 196). Hence, denoting by 2a the angle between the asymptotes, and by o?, y, the co-ordinates of P referred to the asymptotes... | |
 | Henry Barnard - 1856 - 768 páginas
...Application to the tangent and to its construction. The rectangle of the parts of a secant, comprised between a point of the curve and the asymptotes, is equal to the square of halt of the diameter to which the secant is parallel. Form of the equation of the hyperbola referred... | |
 | Henry Barnard - 1862 - 412 páginas
...analogous to those which they possess in the ellipse. The rectangle of the parts of a secant, comprised between a point of the curve and the asymptotes, is equal to the square of half of the diameter to which the secant is parallel. Form of the equation of the hyperbola referred... | |
 | Henry Barnard - 1862 - 410 páginas
...equal.—Application to the tangent and to ita construction. The rectangle of the parts of a secant, comprised between a point of the curve and the asymptotes, is equal to the square of half of the diameter to which the secant is parallel. Form of the equation of the hyperbola referred... | |
 | Charles Briot, Bouguet (M., Jean Claude) - 1896 - 598 páginas
...and one will arrive at an analogous result. Thus, the product of the spgments of a secant, comprised between a point of the curve and the asymptotes, is equal to the nqitare of the semi-diameter parallel to the secant. 194. Being given the asymptotes RR', SS', and... | |
 | Henry Barnard - 1862 - 160 páginas
...Application to the tangent and to its construction. The rectangle of the parts of a secant, comprised between a point of the curve and the asymptotes, is equal to the square of half of the diameter to which the secant is parallel. Form of the equation of the hyperbola referred... | |
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Application to the tangent and to its construction. The rectangle of the parts of a secant, comprised between a point of the curve and the asymptotes, is equal to the square of half of the diameter to which the secant is parallel. Form of the equation... 