A Treatise on Higher TrigonometryMacmillan, 1884 - 208 sider |
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Side 109
... distance of the sun from the earth so untrustworthy . 119. We have seen that the ratio of the difference in the sine of an angle to the difference in the angle , is small when the angle is nearly 7. That is to say , to a small error in ...
... distance of the sun from the earth so untrustworthy . 119. We have seen that the ratio of the difference in the sine of an angle to the difference in the angle , is small when the angle is nearly 7. That is to say , to a small error in ...
Side 111
... distance of an inaccessible object are found by observing the angles of elevation a and ß at two points A and B in a horizontal line through the base of the object , the distance between A and B being known ; if the same error be made ...
... distance of an inaccessible object are found by observing the angles of elevation a and ß at two points A and B in a horizontal line through the base of the object , the distance between A and B being known ; if the same error be made ...
Side 115
... distances of the centres of the escribed circles from that of the inscribed circles are 4R sin 4 , 4R sin B , 4R sin C. ( 16 ) AE ' = R ( sin B + sin C − sin A ) , where E ' is the point in which the inscribed circle touches AC ...
... distances of the centres of the escribed circles from that of the inscribed circles are 4R sin 4 , 4R sin B , 4R sin C. ( 16 ) AE ' = R ( sin B + sin C − sin A ) , where E ' is the point in which the inscribed circle touches AC ...
Side 116
... + ( } R ) 2 — Rr = ( r — } R ) 2 . - [ xxxv . ( 3 ) . ] That is , the distance between the centres of the circles equals the difference of their radii . Q.E.D. B D E EXAMPLES . XXXVI . Prove the following 116 TRIGONOMETRY .
... + ( } R ) 2 — Rr = ( r — } R ) 2 . - [ xxxv . ( 3 ) . ] That is , the distance between the centres of the circles equals the difference of their radii . Q.E.D. B D E EXAMPLES . XXXVI . Prove the following 116 TRIGONOMETRY .
Side 121
... distances from the angular points are proportional to the sides of a triangle ABC , the angles between these distances will be π + A , } π + В , π + C. ( 27 ) tan IOI1 = ± 2 ( sin B - sin C ) 2 cos A - 1 CHAPTER XI . ON THE USE OF ...
... distances from the angular points are proportional to the sides of a triangle ABC , the angles between these distances will be π + A , } π + В , π + C. ( 27 ) tan IOI1 = ± 2 ( sin B - sin C ) 2 cos A - 1 CHAPTER XI . ON THE USE OF ...
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TREATISE ON HIGHER TRIGONOMETR J. B. (John Bascombe) 1849-1921 Lock Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
a+ẞ Algebra angular points arithmetical ascending powers calculated Cambridge centre circular measure circumscribing circle Classical Series coefficients cos² cos³ cosec cosh nx cosine Crown 8vo deduce different values distance Edited by Rev equal escribed circles Eton College EXAMPLES Expand expression Extra fcap fcap Fellow of St Find form A+iB formula GRAMMAR greater Hence inscribed inscribed circle integer Introductions and Notes J. P. MAHAFFY John's College King's College late Fellow less limit LIVY logarithms MACMILLAN'S CLASSICAL CATALOGUE Moivre's Theorem nine-points circle nth roots obtain Oxford P₁ perpendiculars positive integer Prove the following quadratic factors radii radius right angle roots School sec² Shew sides sin n sin² sin³ sine sinh Sum the series Tables tan-¹ tan² tangent triangle ABC Trigonometry Trinity College Vocabulary whole number
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