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 61
... measuring of horizontal and vertical angles , is a ' theodolite fur- nished with a compass and level , one or two telescopes , and a vertical are . Such an instrument , when each circle is 6 or 7 inches diameter , and has a ' nonius ...
... measuring of horizontal and vertical angles , is a ' theodolite fur- nished with a compass and level , one or two telescopes , and a vertical are . Such an instrument , when each circle is 6 or 7 inches diameter , and has a ' nonius ...
Página 62
... measured . It is , therefore , simply requisite to multiply the natural cosine of the angle of inclination , by the length of the line measured , to obtain the true horizontal line . Suppose that on a plane inclined to the horizon in an ...
... measured . It is , therefore , simply requisite to multiply the natural cosine of the angle of inclination , by the length of the line measured , to obtain the true horizontal line . Suppose that on a plane inclined to the horizon in an ...
Página 63
... measured on a horizontal plane a base line of 600 yards , and at each end took the angle included between the other end and the tower , finding them to be 57 ° 35 ′ and 64 ° 51 ′ respectively . Required the distance of the tower from ...
... measured on a horizontal plane a base line of 600 yards , and at each end took the angle included between the other end and the tower , finding them to be 57 ° 35 ′ and 64 ° 51 ′ respectively . Required the distance of the tower from ...
Página 64
... measuring the dis- tances BD , AE , the former is found to be 660 , the latter 672 yards ; from these measures the ... measured the distance of each of them from a third ob- ject c , viz AC = 588 , Bc = 672 , and then at the point c ...
... measuring the dis- tances BD , AE , the former is found to be 660 , the latter 672 yards ; from these measures the ... measured the distance of each of them from a third ob- ject c , viz AC = 588 , Bc = 672 , and then at the point c ...
Página 68
... measured from its bottom a distance of 36 feet , and there found the angle formed by the inclined plane and a line from the centre of the instrument to the top of the obelisk 41 ° ; but after measuring on downward in the same sloping ...
... measured from its bottom a distance of 36 feet , and there found the angle formed by the inclined plane and a line from the centre of the instrument to the top of the obelisk 41 ° ; but after measuring on downward in the same sloping ...
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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