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Title: The numerical equation from Qin Jiushao’s Shushu jiuzhang analyzed in... Post by: victoria1 on May 3, 2016 20. The numerical equation from Qin Jiushao’s Shushu jiuzhang analyzed in Section 7.4.2 came from the geometrical problem of finding the area of a pointed field. If the sides and one diagonal are labelled as in Figure 7.22 (shown below)
-- Show that the area of the lower triangle is given by: B = (c/2) sqrt(b2 - (c/2)2) and that of the upper triangle by: A = (c/2) sqrt(a2 - (c/2)2) then the area x of the entire field is given by x = A + B. -- Show that x satisfies the fourth-degree polynomial equation x4 + 2(A2+ B2)x2 - (A2 - B2)2 = 0. If a = 39, b = 20, and c = 30, show that this equation becomes the one solved by Qin in the text. Title: Re: The numerical equation from Qin Jiushao’s Shushu jiuzhang analyzed in... Post by: bio_man on May 3, 2016 Answer provided below...
Title: Re: The numerical equation from Qin Jiushao’s Shushu jiuzhang analyzed in... Post by: Alyssa P on Oct 31, 2021 thank you
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