A Treatise On the Principles And Applications of Analytic Geometry
A Treatise On the Principles And Applications of Analytic Geometry
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In our eReader you can find the full English version of the book. Read A Treatise On the Principles And Applications of Analytic Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Treatise On the Principles And Applications of Analytic Geometry
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This value of Xi in (g. ) gives r 2 ; and placing in equation (e. ) xi = 2 and r = 2, we find Also if we make y^ = and x l =4rm equation (e. ), we find Since a negative radius gives an imaginary circle, we can only use the upper sign of , or 0. 828 + ; whence a?i = 4 (V ^) = 5 . 172, or TANGENCIES OF LOCI, ETC. 87 Thus it appears that there are four circles which touch the three lines, as follows : O, l n, tf) ni O- / lV A Q .
** ^i *j yi r /V) ' 3d. ^-^-^v 7 ^, . Vi = 0, r = 2v'2 2; 4th. ^ = 6...- 226. Examples* (1. ) Find the equations of condition that the right line y mx + b may be tangent to the two circles Am. B = 2y'l + m\ and b = 6m (2. ) Find the resulting values of b and m.
Ans. B = 12 or T 12 and m - (3. ) Show that the equations of the four lines which touch the two circles are yy-^5 = x + 12, and yy / ~ll = 5x 12, yy!$5 = x 12, and y j/77 = 5x + 12.
Proposition 6'. T 227. TJieorem. The general equation of the n th degree- is. E. , an equation in which all the constants have general values can be made to fulfill | n(n + 3} conditions.
What to read after A Treatise On the Principles And Applications of Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Henry T Henry Turner Eddy to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
This value of Xi in (g. ) gives r 2 ; and placing in equation (e. ) xi = 2 and r = 2, we find Also if we make y^ = and x l =4rm equation (e. ), we find Since a negative radius gives an imaginary circle, we can only use the upper sign of , or 0. 828 + ; whence a?i = 4 (V ^) = 5 . 172, or TANGENCIES OF LOCI, ETC. 87 Thus it appears that there are four circles which touch the three lines, as follows : O, l n, tf) ni O- / lV A Q .
** ^i *j yi r /V) ' 3d. ^-^-^v 7 ^, . Vi = 0, r = 2v'2 2; 4th. ^ = 6...- 226. Examples* (1. ) Find the equations of condition that the right line y mx + b may be tangent to the two circles Am. B = 2y'l + m\ and b = 6m (2. ) Find the resulting values of b and m.
Ans. B = 12 or T 12 and m - (3. ) Show that the equations of the four lines which touch the two circles are yy-^5 = x + 12, and yy / ~ll = 5x 12, yy!$5 = x 12, and y j/77 = 5x + 12.
Proposition 6'. T 227. TJieorem. The general equation of the n th degree- is. E. , an equation in which all the constants have general values can be made to fulfill | n(n + 3} conditions.
What to read after A Treatise On the Principles And Applications of Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Henry T Henry Turner Eddy to read onlineMoreLess
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