An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Inni boken
Resultat 1-5 av 25
Side 33
... Tang 2dly . If the base AB be considered as the radius of a circle , BC is evidently the tangent of the angle △ , and ac is the secant thereof . But the tangent of one angle is the cotangent of the other ; also the secant of one angle ...
... Tang 2dly . If the base AB be considered as the radius of a circle , BC is evidently the tangent of the angle △ , and ac is the secant thereof . But the tangent of one angle is the cotangent of the other ; also the secant of one angle ...
Side 360
... tang ) da . ; la B Let be the latitude of the place ; h , h ' the hour angles , and , the declinations of the sun corresponding to the common zenith distance b . Then cot c = tan 4 , cot a = tan d , -dad , and therefore dв and de ...
... tang ) da . ; la B Let be the latitude of the place ; h , h ' the hour angles , and , the declinations of the sun corresponding to the common zenith distance b . Then cot c = tan 4 , cot a = tan d , -dad , and therefore dв and de ...
Side 418
... Tang . Cotang . Sine | Cosine Tang . Cotang . O Inf.neg . 10-00000 Inf . neg . Inf.pos . 60 307 · 940849-999987-94086,12-05914,30 16-46373 10-00000 6.46373 13.53627 59 317-955089-99998 7 ... Tang . 89 ° 1 ° 2o Sine Co sine Tang . Co tang 418.
... Tang . Cotang . Sine | Cosine Tang . Cotang . O Inf.neg . 10-00000 Inf . neg . Inf.pos . 60 307 · 940849-999987-94086,12-05914,30 16-46373 10-00000 6.46373 13.53627 59 317-955089-99998 7 ... Tang . 89 ° 1 ° 2o Sine Co sine Tang . Co tang 418.
Side 419
Thomas Keith Samuel Maynard. 1 ° 2o Sine Co sine Tang . Co tang . · Sine Co sine | Tang . | Co tang . 08.24186 9.99993 8 24192 11 75808 8.54282 9.99974 8.54308 11 45692 60 18-24903 9.99993 8 24910 11.75090 8.54642 9.99973 8.54669 11 ...
Thomas Keith Samuel Maynard. 1 ° 2o Sine Co sine Tang . Co tang . · Sine Co sine | Tang . | Co tang . 08.24186 9.99993 8 24192 11 75808 8.54282 9.99974 8.54308 11 45692 60 18-24903 9.99993 8 24910 11.75090 8.54642 9.99973 8.54669 11 ...
Side 420
Thomas Keith Samuel Maynard. 3o Sine Co sine Tang . Co tang . 4o Sine Cosine | Tang . Co tang , 08-71880 9.99940 8.71940 11-280608-84358 9 · 99894 8-84464 11 · 15536 60 18-72120 9.99940 8-72181 11 27819 8.84539 9-99893 8 84646 11 · 15354 ...
Thomas Keith Samuel Maynard. 3o Sine Co sine Tang . Co tang . 4o Sine Cosine | Tang . Co tang , 08-71880 9.99940 8.71940 11-280608-84358 9 · 99894 8-84464 11 · 15536 60 18-72120 9.99940 8-72181 11 27819 8.84539 9-99893 8 84646 11 · 15354 ...
Vanlige uttrykk og setninger
acute altitude angle CAB arc BF base centre complement construction cosec cosine cotangent degrees diff difference of latitude distance division draw ecliptic equator Euclid extent will reach find the angle formulæ given angle given side greater Greenwich half the sum Hence horizon hypoth less line of numbers line of sines logarithm logarithmic sine mean arc measure meridian moon's natural number Nautical Almanac observed obtuse opposite angles parallax parallel perpendicular plane sailing Plate pole primitive PROPOSITION quadrant rad2 radius rhumb line right angles right ascension right-angled plane triangle right-angled spherical triangle right-angled triangle RULE scale of chords scale of equal SCHOLIUM secant semi-tangents side AC side opposite sin² sphere spherical angle spherical triangle ABC spherical trigonometry straight line subtract supplement Tang tangent of half three angles three sides Trigonometry versed sine
Populære avsnitt
Side 109 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 141 - Consequently, a line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the vertical angle, and is perpendicular to the base.
Side 33 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Side 29 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.
Side 258 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.
Side 116 - C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A sin. B sin. C _ sin.
Side 362 - Now it is plain, that if any great circle of the sphere (as 1, 2, 3.) be divided into any number of equal parts, and through the points of division...
Side 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 330 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.