A Catalogue of a Span Classsearchtermspan Classsearchtermcollections
A Catalogue of a Span Classsearchtermspan Classsearchtermcollections
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In our eReader you can find the full English version of the book. Read A Catalogue of a Span Classsearchtermspan Classsearchtermcollections 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 Catalogue of a Span Classsearchtermspan Classsearchtermcollections
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Differentiating implicitly a + l% = 0. (4. ) Proceeding to a second differentiation, in which, by virtne dy of the last equation, we may consider ~ as constant, we obtain dx' ^ dxdy \dx) ^ dif \dx) ^ ^ Then, if we take (2) as the director plane, that i^ to say, if we make the director plane parallel to the axis of z, we must substitute in (5) the value of -/ obtained from (4), and we dx get j^dh ci J d^z, 9 d^z _ b^-7-r, - 2ab -j-j- + «2-^, = 0. Dx-" dxdi/ ay- or in the usual notation Z>V - 2ah...s + a^t^ 0. (6. ) If, however, we take (1) as the director plnne, we mu^t determine j ^''^"^ ('^)) which gives dy _ _ C/? + A dx ~ Cq + B and the differential equation becomes (C^ + B)V - 2 (C7 + B) (Cp -[- A) s + (C;^ -? A)^ t = 0. (7. ) which reduces to the same form as (6) if C ■= 0.
30 whence and • Ruled Surface with right line Director, The axis of z being taken as the director, the equations of the variable line may be written as X ^^ ky mx -\- n = z.
dy \ y j- = ~y z=^ = constant, (tX ft X dz dz dy dx dy dx Differentiating again, = ^+2 — -^ + ^(''^V dx'^ dxdy dx dy'^ \dx) 1 % u dy Substituting - for -^ we obtain ^ x ax „ d^z, ^ d^z „ d^z ^, ^ which is the equation of the surface.
What to read after A Catalogue of a Span Classsearchtermspan Classsearchtermcollections?
You can find similar books in the "Read Also" column, or choose other free books by Monsieur Fabre De Lagrange to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Differentiating implicitly a + l% = 0. (4. ) Proceeding to a second differentiation, in which, by virtne dy of the last equation, we may consider ~ as constant, we obtain dx' ^ dxdy \dx) ^ dif \dx) ^ ^ Then, if we take (2) as the director plane, that i^ to say, if we make the director plane parallel to the axis of z, we must substitute in (5) the value of -/ obtained from (4), and we dx get j^dh ci J d^z, 9 d^z _ b^-7-r, - 2ab -j-j- + «2-^, = 0. Dx-" dxdi/ ay- or in the usual notation Z>V - 2ah...s + a^t^ 0. (6. ) If, however, we take (1) as the director plnne, we mu^t determine j ^''^"^ ('^)) which gives dy _ _ C/? + A dx ~ Cq + B and the differential equation becomes (C^ + B)V - 2 (C7 + B) (Cp -[- A) s + (C;^ -? A)^ t = 0. (7. ) which reduces to the same form as (6) if C ■= 0.
30 whence and • Ruled Surface with right line Director, The axis of z being taken as the director, the equations of the variable line may be written as X ^^ ky mx -\- n = z.
dy \ y j- = ~y z=^ = constant, (tX ft X dz dz dy dx dy dx Differentiating again, = ^+2 — -^ + ^(''^V dx'^ dxdy dx dy'^ \dx) 1 % u dy Substituting - for -^ we obtain ^ x ax „ d^z, ^ d^z „ d^z ^, ^ which is the equation of the surface.
What to read after A Catalogue of a Span Classsearchtermspan Classsearchtermcollections?
You can find similar books in the "Read Also" column, or choose other free books by Monsieur Fabre De Lagrange to read onlineMoreLess
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