The Elements of Plane and Spherical Trigonometry: And Its Application to Astronomy, Dialling, and Trigonometrical Surveying. With Plates. Designed for Mathematical StudentsT. Ostell and Company, 1841 - 191 sider |
Inni boken
Resultat 1-5 av 30
Side v
... obtained other- wise . The construction of trigonometrical tables occu- pies the ninth section , and with this concludes the subject of Trigonometry . It is always more interesting to young persons studying the principles of any science ...
... obtained other- wise . The construction of trigonometrical tables occu- pies the ninth section , and with this concludes the subject of Trigonometry . It is always more interesting to young persons studying the principles of any science ...
Side 8
... obtained from the consideration of a particular arc , can , by these means , be made general , as we shall see hereafter . ( 11. ) Def . The defect of an arc from a quadrant is called the complement of that arc ; and the defect from a ...
... obtained from the consideration of a particular arc , can , by these means , be made general , as we shall see hereafter . ( 11. ) Def . The defect of an arc from a quadrant is called the complement of that arc ; and the defect from a ...
Side 24
... obtain their numerical values would be more la- borious than the simple calculation by natural sines , & c . , and even impracticable . It was , in the compu- tation of such formulæ , that subsidiary angles ori- ginated . We are enabled ...
... obtain their numerical values would be more la- borious than the simple calculation by natural sines , & c . , and even impracticable . It was , in the compu- tation of such formulæ , that subsidiary angles ori- ginated . We are enabled ...
Side 39
... obtain B- ° 33 ' 14 ' . The angle C may now be found from the equation C = - ( A + B ) ; but as no evidence can be drawn from this conclusion that the previous calculation is correct , it will be most satisfactory to deduce the va- lue ...
... obtain B- ° 33 ' 14 ' . The angle C may now be found from the equation C = - ( A + B ) ; but as no evidence can be drawn from this conclusion that the previous calculation is correct , it will be most satisfactory to deduce the va- lue ...
Side 54
... obtain , area A B C D = √ ( S ' — a ) . ( S ' — b ) . ( S ' — c ) · ( S — d ) . The value of the diagonal A C expressed in terms of the four sides may readily be obtained . We have , A C — a2 + b2 − 2 a b cos 0 ́a2 + b2 — c2 — d2 _a2 ...
... obtain , area A B C D = √ ( S ' — a ) . ( S ' — b ) . ( S ' — c ) · ( S — d ) . The value of the diagonal A C expressed in terms of the four sides may readily be obtained . We have , A C — a2 + b2 − 2 a b cos 0 ́a2 + b2 — c2 — d2 _a2 ...
Andre utgaver - Vis alle
The Elements of Plane and Spherical Trigonometry: And Its Application ... Richard Abbatt Ingen forhåndsvisning tilgjengelig - 2017 |
The Elements of Plane and Spherical Trigonometry: And Its Application ... Richard Abbatt Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
1+cos 1+tan A-sin A'+B A+B+C A+tan ab+cd angle of elevation Answer B-cos B-sin B+cos c-cos C-tan c=cos calculation called centre complement cos² cosec cosine cotangent determine diurnal motion earth ecliptic equal equation Example find the angle formulæ greater Greenwich hence horizon hour circle hypothenuse included angle known latitude less Let A B C log a log logarithms longitude measured meridian altitudes miles obliq obliquity observed perpendicular plane triangle polar triangle pole prime vertical Problem quadrant radius right ascension secant sides A B Similarly sin S-a sin² sine sine and cosine six o'clock sphere spherical angle spherical tri spherical triangle SPHERICAL TRIGONOMETRY subtraction Suppose surface tan² tangent third side three angles three sides Tobolsk triangle A B C TRIGONO trigonometrical lines vernal equinox yards
Populære avsnitt
Side 58 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 55 - From a window near the bottom of a house, which seemed to be on a level with the bottom of a steeple, I took the angle of elevation of the top of the steeple equal...
Side 31 - THEOREM I. The sides of a plane triangle are proportional to the sines of their opposite angles.
Side 66 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Side 60 - A great circle may be drawn through any two points on the surface of a sphere, but not through more than two, taken at random.
Side 57 - Required the horizontal distance of the vessel, and the height of the promontory above the level of the sea, the light-house being 85 feet high. Ans. Distance 5296.4 feet, height 251.3 feet. Prob. 11. An observer, seeing a cloud in the west, measured its angle of elevation, and found it to be 64°. A second observer, situated half a mile due east from the first station, and on the same...
Side 54 - What is the perpendicular height of a hill ; its angle of elevation, taken at the bottom of it, being 46°, and 200 yards farther off, on a level with the bottom, the angle was 31°?
Side 57 - ... it is required from these measures to determine the magnitude of the whole earth, and the utmost distance that can be seen on its surface from the top of the mountain, supposing the form of the earth to be perfectly...
Side x - CB : CA : : sin A : sin B. For, with A as a centre, and AD equal to the less side...
Side 57 - Required the distance from A to B. Ans. 345.5 yards. Prob. 10. From the top of a light-house, the angle of depression of a ship at anchor was 3° 38', and at the bottom of the light-house the angle of depression was 2° 43'.