Elements of Analytical Geometry And of the Differential And Integral Calculus
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In our eReader you can find the full English version of the book. Read Elements of Analytical Geometry And of 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 Elements of Analytical Geometry And of the Differential And Integral Calculus
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To quickly assess the difficulty of the text, read a short excerpt:
75, 2 sin. A— sin. B=^ sin. |(A— B) cos. I(A+B). (2) Put A=x+h, and 'B=x, equation (2) becomes 2 sin. (. R-f //) — sin. •'^'=tT sin. ^i cos. (x + lh).
Hence equation (1) becomes w'— M=17 sin. Yi cos. (x + yi).
Dividing both members by h, and both terms of the fraction m the second member by 2, we have u' — u sin. Yi cos. (x+yi) which expresses the ratio of the increment of the function to that of the variable, and we must find the Hmit of this ratio by making the increment equal to zero, Art. 1...74. But in this case, according to the last proposition, Cor. 1, Hence •, — t» » dx K sin. \h ~W"' du cos. X COS. Xdx or du^d sin. A;=- „ Ex. 1. Required the differential of the sine of 30°, the differ ences being taken for single minutes.
The differential of a:, which is 1', must be taken in parts of radius, which, on p. 150 of the Tables, is found to be . 0002909.
Its logarithm is 6. 463726.
The logarithmic cosine of 30° is 9. 937531.
Their sum is 6. 401257.
The natural number corresponding to this logarithm is 0.
What to read after Elements of Analytical Geometry And of the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Elias Loomis to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
75, 2 sin. A— sin. B=^ sin. |(A— B) cos. I(A+B). (2) Put A=x+h, and 'B=x, equation (2) becomes 2 sin. (. R-f //) — sin. •'^'=tT sin. ^i cos. (x + lh).
Hence equation (1) becomes w'— M=17 sin. Yi cos. (x + yi).
Dividing both members by h, and both terms of the fraction m the second member by 2, we have u' — u sin. Yi cos. (x+yi) which expresses the ratio of the increment of the function to that of the variable, and we must find the Hmit of this ratio by making the increment equal to zero, Art. 1...74. But in this case, according to the last proposition, Cor. 1, Hence •, — t» » dx K sin. \h ~W"' du cos. X COS. Xdx or du^d sin. A;=- „ Ex. 1. Required the differential of the sine of 30°, the differ ences being taken for single minutes.
The differential of a:, which is 1', must be taken in parts of radius, which, on p. 150 of the Tables, is found to be . 0002909.
Its logarithm is 6. 463726.
The logarithmic cosine of 30° is 9. 937531.
Their sum is 6. 401257.
The natural number corresponding to this logarithm is 0.
What to read after Elements of Analytical Geometry And of the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Elias Loomis to read onlineMoreLess
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