The Elements of Plane And Spherical Trigonometry : With the Construction And Use of Tables of Logarithms, Both of Numbers And for Angles
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In our eReader you can find the full English version of the book. Read The Elements of Plane And Spherical Trigonometry : With the Construction And Use of Tables of Logarithms, Both of Numbers And for Angles 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 The Elements of Plane And Spherical Trigonometry : With the Construction And Use of Tables of Logarithms, Both of Numbers And for Angles
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cos ^ =sin(54<' + ^) + sin (540- J)) 2 sin ISO. cos ^ = sin (18«+ 4) + sin (.180-^)) * (4) .-. Cos^, or Sin (900-^), = sin (540 + ^) + sin {54P-A) - sin (180 + ^) - sin (IS^ - A), which is Legendre's formula. This formula might have been proved by writing 90" — J. for A in Euler's formula. Ex. To exemplify the use of these formulae. By making ^ = 13° in Legendre's formula; Cos 130= sin 67° + sin 41'-' - sin 310 - sin 50. Now the tables give for the quantities in the second member of the equa- tion 9205 -049 + 6560-590 -5150-381 -871-557, which =9743-701, the quantity given by the tables as the Cosine of 13**. Since, therefore, these quantities satisfy the relation which ought to exist between the Sines of 67^', 41", 31", 5", aad the Cosine of IB", it may be con- cluded, without much chance of error, that the values of these Goniometric Ratios are correctly given by the tables. 8, The values of the Goniometric Ratios having "been thus calculated, multiplied by 10,000, verified, and registered in tables, are called " Tables of Natural Sines, Cosines,.
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You can find similar books in the "Read Also" column, or choose other free books by Snowball, John Charles, D. 1855 to read online
To quickly assess the difficulty of the text, read a short excerpt:
cos ^ =sin(54<' + ^) + sin (540- J)) 2 sin ISO. cos ^ = sin (18«+ 4) + sin (.180-^)) * (4) .-. Cos^, or Sin (900-^), = sin (540 + ^) + sin {54P-A) - sin (180 + ^) - sin (IS^ - A), which is Legendre's formula. This formula might have been proved by writing 90" — J. for A in Euler's formula. Ex. To exemplify the use of these formulae. By making ^ = 13° in Legendre's formula; Cos 130= sin 67° + sin 41'-' - sin 310 - sin 50. Now the tables give for the quantities in the second member of the equa- tion 9205 -049 + 6560-590 -5150-381 -871-557, which =9743-701, the quantity given by the tables as the Cosine of 13**. Since, therefore, these quantities satisfy the relation which ought to exist between the Sines of 67^', 41", 31", 5", aad the Cosine of IB", it may be con- cluded, without much chance of error, that the values of these Goniometric Ratios are correctly given by the tables. 8, The values of the Goniometric Ratios having "been thus calculated, multiplied by 10,000, verified, and registered in tables, are called " Tables of Natural Sines, Cosines,.
What to read after The Elements of Plane And Spherical Trigonometry : With the Construction And Use of Tables of Logarithms, Both of Numbers And for Angles?
You can find similar books in the "Read Also" column, or choose other free books by Snowball, John Charles, D. 1855 to read online
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