Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Side xvi
... COMPLEX QUANTITIES . § 1. General Theorems . 589-593 . Symbolic definition and use of imaginaries 594-597 . Theorems on conjugates , norms , and moduli 598-600 . Theorems on equations with complex roots 601 , 602 . Product of ...
... COMPLEX QUANTITIES . § 1. General Theorems . 589-593 . Symbolic definition and use of imaginaries 594-597 . Theorems on conjugates , norms , and moduli 598-600 . Theorems on equations with complex roots 601 , 602 . Product of ...
Side xvii
... Complex Indices and Logarithms . Extended definition of powers and logarithms . 640-643 . Determination of general forms of powers and logarithms 644 . Changes in expansional value of exi 645 , 646 . Expansion of logarithms . 647-649 ...
... Complex Indices and Logarithms . Extended definition of powers and logarithms . 640-643 . Determination of general forms of powers and logarithms 644 . Changes in expansional value of exi 645 , 646 . Expansion of logarithms . 647-649 ...
Side 47
... complex sides of each identity , 1 ( 1 ) = 1 ÷ sin A = 1 ÷ sin A MP OP OP = = cox A , MP 1 OM ОР ( 2 ) = 1cos Al ÷÷ = sec A , cos A OP OM sin A ( 3 ) = sin A ÷ cos A = = = cos A MP OM MP OP OP OP OP ом X MP = tan A , ом cos A OM MP OM ...
... complex sides of each identity , 1 ( 1 ) = 1 ÷ sin A = 1 ÷ sin A MP OP OP = = cox A , MP 1 OM ОР ( 2 ) = 1cos Al ÷÷ = sec A , cos A OP OM sin A ( 3 ) = sin A ÷ cos A = = = cos A MP OM MP OP OP OP OP ом X MP = tan A , ом cos A OM MP OM ...
Side 48
... complex formula . Thus , by means of the first four formulæ , any other ratio may be expressed in terms of sine and cosine . By means of the fifth , either of the two ratios sine and cosine may be expressed in terms of the other . This ...
... complex formula . Thus , by means of the first four formulæ , any other ratio may be expressed in terms of sine and cosine . By means of the fifth , either of the two ratios sine and cosine may be expressed in terms of the other . This ...
Side 398
... complex operation than mere subtraction . § 2. THE THEORY OF INTERPOLATION . 1 561. We shall now examine the basis and limits of the theory of Proportional Differences , which is applied to inter- polate values of quantities ...
... complex operation than mere subtraction . § 2. THE THEORY OF INTERPOLATION . 1 561. We shall now examine the basis and limits of the theory of Proportional Differences , which is applied to inter- polate values of quantities ...
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acute angle algebraically antiparallels b₁ base bisector bisects Brocard Circle Brocard Points centre circular measure circumcentre circumcircle circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal difference directed length distance equal equation escribed circles Example expressed factors final line finite formulæ fraction Given log Hence hypothenuse inscribed integral last article Lemoine Circle limit logarithms magnitude middle point multiple nine-points nine-points circle obtuse opposite orthocentre perp perpendicular positive or negative PROP prove quadrant quantity radius ratios respectively right-angle root S₁ S₂ sec² secant sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem triangle trigonometrical unity values zero
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