Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic OperationsBaldwin, Cradock, and Joy, 1816 - 244 páginas |
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Página 28
... error than that in which the arith . comp . is put down at once from the tables . Example II . 5. In a plane triangle ABC are given AC = 216 ; CB 117 ; the angle A 22 ° 37 ′ ; to find the rest . Construction . Draw an indefinite right ...
... error than that in which the arith . comp . is put down at once from the tables . Example II . 5. In a plane triangle ABC are given AC = 216 ; CB 117 ; the angle A 22 ° 37 ′ ; to find the rest . Construction . Draw an indefinite right ...
Página 37
... error ; and is , therefore , well fitted for adoption at the commencement of this branch of science . But of late years , another method , first in- troduced by Euler , has been generally employed by the continental mathematicians , and ...
... error ; and is , therefore , well fitted for adoption at the commencement of this branch of science . But of late years , another method , first in- troduced by Euler , has been generally employed by the continental mathematicians , and ...
Página 102
... judiciously in the great Trigonome- trical Survey , to correct the errors of spherical angles . Sea Phil , Trans , vol . 80. and chap . xii , of this volume , Cor . 5. When two of the angles of a 102 Spherical Trigonometry .
... judiciously in the great Trigonome- trical Survey , to correct the errors of spherical angles . Sea Phil , Trans , vol . 80. and chap . xii , of this volume , Cor . 5. When two of the angles of a 102 Spherical Trigonometry .
Página 119
... error , to coincide . 10. Great circles which are drawn as secondaries to the rational horizon , are called vertical circles ; they serve to measure the altitude or the depression of any celestial object . 11. The two points in which ...
... error , to coincide . 10. Great circles which are drawn as secondaries to the rational horizon , are called vertical circles ; they serve to measure the altitude or the depression of any celestial object . 11. The two points in which ...
Página 170
... error in taking an altitude , it is re- quired to determine the corresponding error in time , in the case of example 4 , prob . ii . E m Let EQ in the marginal figure be the equator , P the elevated pole , ab the parallel of de - magaz ...
... error in taking an altitude , it is re- quired to determine the corresponding error in time , in the case of example 4 , prob . ii . E m Let EQ in the marginal figure be the equator , P the elevated pole , ab the parallel of de - magaz ...
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Términos y frases comunes
altitude angled spherical triangle azimuth base becomes bisect centre chap chord circle circle of latitude computation consequently cos² cosec cosine cotangent declination deduced determine dial diameter difference distance draw earth ecliptic equa equal equation Example find the rest formulæ given side h cos h half Hence horizon hour angle hypoth hypothenuse intersecting latitude logarithmic longitude measured meridian obliq oblique opposite angle parallel perpendicular plane angles plane triangle pole problem prop quadrant radius right angled spherical right angled triangle right ascension right line sec² secant sin A sin sin² sine solid angle sphere spherical excess spherical trigonometry star substyle sun's supposed surface tan² tangent theorem three angles three sides tion triangle ABC values versed sine versin vertical angle whence zenith