Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
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Página xvii
... sine 660-664 . Expansions with Bernouilli's Numbers EXAMPLES XXI . 431-437 438-440 440-444 444 , 445 445 , 446 446-451 451-453 453-455 455-457 457-459 459-461 461-465 465-471 CHAPTER XXII . GEOMETRICAL INTERPRETATION OF IMAGINARIES ...
... sine 660-664 . Expansions with Bernouilli's Numbers EXAMPLES XXI . 431-437 438-440 440-444 444 , 445 445 , 446 446-451 451-453 453-455 455-457 457-459 459-461 461-465 465-471 CHAPTER XXII . GEOMETRICAL INTERPRETATION OF IMAGINARIES ...
Página 41
... Sine = perp . hyp . 2. Co - sine = hyp . perp . base 3. Tangent = 4. Co - tangent = base perp . 5 . Secant = hyp . base hyp . 6 . Co - secant - perp . 72. The following observations will aid the student in learning these definitions ...
... Sine = perp . hyp . 2. Co - sine = hyp . perp . base 3. Tangent = 4. Co - tangent = base perp . 5 . Secant = hyp . base hyp . 6 . Co - secant - perp . 72. The following observations will aid the student in learning these definitions ...
Página 42
... sine of A , the cosine of A , & c . These expressions are abbreviated into sin A , cos A , & c . If A represents the angle MOP in the preceding figures , the following will be the more complete definitions of these ratios : 1 . Sin A ...
... sine of A , the cosine of A , & c . These expressions are abbreviated into sin A , cos A , & c . If A represents the angle MOP in the preceding figures , the following will be the more complete definitions of these ratios : 1 . Sin A ...
Página 43
... sine of some other angle , and so of the others , therefore , general pro- positions about the sine will be true of the cosine ; and those about the tangent will be true of the cotangent ; and those about the secant will be true of the ...
... sine of some other angle , and so of the others , therefore , general pro- positions about the sine will be true of the cosine ; and those about the tangent will be true of the cotangent ; and those about the secant will be true of the ...
Página 44
... sine and cosine have hypothenuse in denominator , sine and cosine are always less than unity . Since secant and cosecant have hypothenuse in numerator , secant and cosecant are always greater than unity . Since sine and cosine have ...
... sine and cosine have hypothenuse in denominator , sine and cosine are always less than unity . Since secant and cosecant have hypothenuse in numerator , secant and cosecant are always greater than unity . Since sine and cosine have ...
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Términos y frases comunes
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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