A Commentary On Newtons Principia With a Supplementary volume volume 2
A Commentary On Newtons Principia With a Supplementary volume volume 2
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In our eReader you can find the full English version of the book. Read A Commentary On Newtons Principia With a Supplementary volume volume 2 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 Commentary On Newtons Principia With a Supplementary volume volume 2
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3 ____ i / R 1 In like manner, the coefficient of -, . , m . M cos. N (* & } in the r + i function (f) is 2. 1. 3. 5 ____ (i + n) . 1. 3. 5 ---- (i n) 2. 4. 6. (i + n 1) . 2. 4. 6 (i n 1) this is the coefficient of m m in the value of /3, when we neglect the squares of m, m, and when i n is odd. Comparing this with the va lue already found, we shall have > /I- 3. 5 (2i IK* i(i l).... (i n + 1.
V V 1. 2. 3 i ) (i+1) (i + 2) (i + n) an expression which is the same as in the case of i n being even.... If n = 0, we also have /I. 3. 5.... (2 i- IV 7 \ 1. 2. 3 i ) BOOK I. ] NEWTON S PRINCIPIA. 241 560. From what precedes, we may obtain the general form of functions Y w of m, V 1 m 2 . Sin. -a, and V 1 m 2 . Cos. R, which satisfy the equation of partial differences = - - .
\ dm / 1 m 2 Designating by /3, the coefficient of sin. N &, or of cos. N ^, in th function Y (1), we shall have - - r - -T. .
dm 1 m 2 8 is equal to (I m 2 ) & multiplied by a rational and entire function of m, and in this case, by the preceding No.
What to read after A Commentary On Newtons Principia With a Supplementary volume volume 2?
You can find similar books in the "Read Also" column, or choose other free books by J M F John Martin Frederick Wright to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
3 ____ i / R 1 In like manner, the coefficient of -, . , m . M cos. N (* & } in the r + i function (f) is 2. 1. 3. 5 ____ (i + n) . 1. 3. 5 ---- (i n) 2. 4. 6. (i + n 1) . 2. 4. 6 (i n 1) this is the coefficient of m m in the value of /3, when we neglect the squares of m, m, and when i n is odd. Comparing this with the va lue already found, we shall have > /I- 3. 5 (2i IK* i(i l).... (i n + 1.
V V 1. 2. 3 i ) (i+1) (i + 2) (i + n) an expression which is the same as in the case of i n being even.... If n = 0, we also have /I. 3. 5.... (2 i- IV 7 \ 1. 2. 3 i ) BOOK I. ] NEWTON S PRINCIPIA. 241 560. From what precedes, we may obtain the general form of functions Y w of m, V 1 m 2 . Sin. -a, and V 1 m 2 . Cos. R, which satisfy the equation of partial differences = - - .
\ dm / 1 m 2 Designating by /3, the coefficient of sin. N &, or of cos. N ^, in th function Y (1), we shall have - - r - -T. .
dm 1 m 2 8 is equal to (I m 2 ) & multiplied by a rational and entire function of m, and in this case, by the preceding No.
What to read after A Commentary On Newtons Principia With a Supplementary volume volume 2?
You can find similar books in the "Read Also" column, or choose other free books by J M F John Martin Frederick Wright to read onlineMoreLess
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