Elements of Plane And Spherical Trigonometry: With the First Principles of ...
Elements of Plane And Spherical Trigonometry: With the First Principles of ...
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In our eReader you can find the full English version of the book. Read Elements of Plane And Spherical Trigonometry: With the First Principles of ... 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 Plane And Spherical Trigonometry: With the First Principles of ...
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by any of the formulas, (88), (89), (90). To exemplify this, let, us supply the radius in the first of these, and we shall obtain . _^ /sm(s — 6)sin(s — c)r^ sm^ArrV — ^^ /, ."^ ^— ; -* smosmc or, as it may be expressed, sini A=v \ -r-rr.-: — .sin(5 — b) sin(5— «) l.
^ (sin6smc v ^ v >'j By taking the logarithms of both members of this, we find (No. 50) logsiniA=iJ10 — ^logsmft-f-l^ — logsinc+logsm(a — 6)-|-logsin(s— )JJ(122) In a similar manner, we find, from (89) and (90), log cos JA=i [ 10— ...log sin 6-|-10 —log sin c + log sma + log sin(5 — a) J ...... ( 123) logtaniA=:iJlO— Iog8in5-|-10— logsin(5— a)-|-log«in(s— 6)-|-logsin(s — c)J(134) This last formula,: expressed in words, gives the following theorem : 1. Add the three sides together, and take half the sum. 2. Fromi After readii]^ what is ffiven in section V. regarding the areas of spherical triangles, the student wiu see, that the principles here explained wiU illus- trate Llhulllier's.
What to read after Elements of Plane And Spherical Trigonometry: With the First Principles of ...?
You can find similar books in the "Read Also" column, or choose other free books by James B James Bates Thomson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
by any of the formulas, (88), (89), (90). To exemplify this, let, us supply the radius in the first of these, and we shall obtain . _^ /sm(s — 6)sin(s — c)r^ sm^ArrV — ^^ /, ."^ ^— ; -* smosmc or, as it may be expressed, sini A=v \ -r-rr.-: — .sin(5 — b) sin(5— «) l.
^ (sin6smc v ^ v >'j By taking the logarithms of both members of this, we find (No. 50) logsiniA=iJ10 — ^logsmft-f-l^ — logsinc+logsm(a — 6)-|-logsin(s— )JJ(122) In a similar manner, we find, from (89) and (90), log cos JA=i [ 10— ...log sin 6-|-10 —log sin c + log sma + log sin(5 — a) J ...... ( 123) logtaniA=:iJlO— Iog8in5-|-10— logsin(5— a)-|-log«in(s— 6)-|-logsin(s — c)J(134) This last formula,: expressed in words, gives the following theorem : 1. Add the three sides together, and take half the sum. 2. Fromi After readii]^ what is ffiven in section V. regarding the areas of spherical triangles, the student wiu see, that the principles here explained wiU illus- trate Llhulllier's.
What to read after Elements of Plane And Spherical Trigonometry: With the First Principles of ...?
You can find similar books in the "Read Also" column, or choose other free books by James B James Bates Thomson to read onlineMoreLess
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