A General Geometry And Calculus : Including book I. of the General Geometry, Treating of Loci in a Plane; And An Elementary Course in the Differential And Integral Calculus
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In our eReader you can find the full English version of the book. Read A General Geometry And Calculus : Including book I. of the General Geometry, Treating of Loci in a Plane; And An Elementary Course in the Differential And Integral Calculus 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 General Geometry And Calculus : Including book I. of the General Geometry, Treating of Loci in a Plane; And An Elementary Course in the Differential And Integral Calculus
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To quickly assess the difficulty of the text, read a short excerpt:
13 7 • JPfop, — The general value of the intercepts^ of the axes by a tangent are .dx' 'dy' ^ — y\j.,,^ and Y=y' — x'£^ ; in which X is the intercept on the axis of x, and Y that on the axis of y, (x'j y') being the point of tangency.
Dem.— The equation of a tangent being y — y' = -r-:(x — a;'), if we find where (JLvu this line cuts the axes by making 2/ = for the intercept on the axis of x, and finding the value of x ; and cc = and finding the value of y for the intercept on the axis of y, we ...have the results sought. Thus for y = 0, and a: = X, we have — y' = dv ' dx' -7^(X-=- a;'), or X = x' — v'-r-. For x = 0, and y = Y. we have Y — y' = dx dy -^,(0 — X'), or F= y' — a'^. Q. e. d.
dic ^ ' -^ dx' ScH. — In solving an example we may either apply these formulae, ; or, first get the equation of the tangent and then make x and y successively = 0. This is but an application of [26., 1st).
Ex. 1. From A^y"^ + B-x"- = A^B"^, show that a tangent to an ellipse A^ B-i cuts the axes at X -== — -, and F = — ^ ; i.
What to read after A General Geometry And Calculus : Including book I. of the General Geometry, Treating of Loci in a Plane; And An Elementary Course in the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Edward Olney to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
13 7 • JPfop, — The general value of the intercepts^ of the axes by a tangent are .dx' 'dy' ^ — y\j.,,^ and Y=y' — x'£^ ; in which X is the intercept on the axis of x, and Y that on the axis of y, (x'j y') being the point of tangency.
Dem.— The equation of a tangent being y — y' = -r-:(x — a;'), if we find where (JLvu this line cuts the axes by making 2/ = for the intercept on the axis of x, and finding the value of x ; and cc = and finding the value of y for the intercept on the axis of y, we ...have the results sought. Thus for y = 0, and a: = X, we have — y' = dv ' dx' -7^(X-=- a;'), or X = x' — v'-r-. For x = 0, and y = Y. we have Y — y' = dx dy -^,(0 — X'), or F= y' — a'^. Q. e. d.
dic ^ ' -^ dx' ScH. — In solving an example we may either apply these formulae, ; or, first get the equation of the tangent and then make x and y successively = 0. This is but an application of [26., 1st).
Ex. 1. From A^y"^ + B-x"- = A^B"^, show that a tangent to an ellipse A^ B-i cuts the axes at X -== — -, and F = — ^ ; i.
What to read after A General Geometry And Calculus : Including book I. of the General Geometry, Treating of Loci in a Plane; And An Elementary Course in the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Edward Olney to read onlineMoreLess
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