A Treatise On Plane And Spherical Trigonometry
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In our eReader you can find the full English version of the book. Read A Treatise On Plane And Spherical Trigonometry 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 Treatise On Plane And Spherical Trigonometry
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To quickly assess the difficulty of the text, read a short excerpt:
Trig. (154) and (109) is reduced to tan* (45o - } A) = ^-£=3 (104) % v * ; tan*( c +«) l ' which will give a more accurate result than (89), when A is nearly 90°.
61. From (91) we find 1 — cos b cos a — cos e 1 _J_ cos b cos a + cos e or tan* J 6 = tan J (c + a) tan £ (c — a) (105) which may be employed instead of (91) when b is small, or nearly 180°.
62. From (90) we find 1 — cos B tan c — tan a 1 + cos B tan c + tan a t an'ji ?= 8 | n j f - a > (106) 2 sin (c + a) l ' which may be employed in...stead of (90) when B is small, or nearly 180°.
63. By similar transformations the formulae (101), (102) and (103) become . • * — cos (A 4- B) ,„ __ % tan* i e = ) A J\ ( 107 ) d cos (.4 — B) l ' tan* } a = tan [J (4 + i?) — 45°] tan [45° + £ {A — i?)] (108) tan* i b = tan [J (4 + 5) — 45°] tan [45° — J (4 — 5)] (109) We have also, by (14), . . , — cos (A 4- B) — cos C sin* } e = . ' , . — s * 2 sin A sin i?
which, when C = 90°, becomes ... — cos (A +B) /1im Sin* h C = ;r— .
What to read after A Treatise On Plane And Spherical Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by William Chauvenet to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Trig. (154) and (109) is reduced to tan* (45o - } A) = ^-£=3 (104) % v * ; tan*( c +«) l ' which will give a more accurate result than (89), when A is nearly 90°.
61. From (91) we find 1 — cos b cos a — cos e 1 _J_ cos b cos a + cos e or tan* J 6 = tan J (c + a) tan £ (c — a) (105) which may be employed instead of (91) when b is small, or nearly 180°.
62. From (90) we find 1 — cos B tan c — tan a 1 + cos B tan c + tan a t an'ji ?= 8 | n j f - a > (106) 2 sin (c + a) l ' which may be employed in...stead of (90) when B is small, or nearly 180°.
63. By similar transformations the formulae (101), (102) and (103) become . • * — cos (A 4- B) ,„ __ % tan* i e = ) A J\ ( 107 ) d cos (.4 — B) l ' tan* } a = tan [J (4 + i?) — 45°] tan [45° + £ {A — i?)] (108) tan* i b = tan [J (4 + 5) — 45°] tan [45° — J (4 — 5)] (109) We have also, by (14), . . , — cos (A 4- B) — cos C sin* } e = . ' , . — s * 2 sin A sin i?
which, when C = 90°, becomes ... — cos (A +B) /1im Sin* h C = ;r— .
What to read after A Treatise On Plane And Spherical Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by William Chauvenet to read onlineMoreLess
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