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
... altitudes and distances of remote ob- jects , the former usually designated by the term alti- metry , the latter by that of longimetry . It is not in- tended to treat them separately here , nor to treat them jointly much in detail ; but ...
... altitudes and distances of remote ob- jects , the former usually designated by the term alti- metry , the latter by that of longimetry . It is not in- tended to treat them separately here , nor to treat them jointly much in detail ; but ...
Página 65
... altitude of the tower , and AH the horizontal line drawn through its B top ; there are given , TH “ HAD — 25 ° 30 ′ , hence BAD — BAH — HAD = 64 ° 30 ′ HAC = 57 ° 0 ' , hence BAC BAH — HAC Hence the following calculation . D 33 ° 0 ...
... altitude of the tower , and AH the horizontal line drawn through its B top ; there are given , TH “ HAD — 25 ° 30 ′ , hence BAD — BAH — HAD = 64 ° 30 ′ HAC = 57 ° 0 ' , hence BAC BAH — HAC Hence the following calculation . D 33 ° 0 ...
Página 80
... altitude , fixed at the zenith , and pass- ing through the east or west point . 6. Two arcs or angles , when compared together , are said to be alike , or of the same affection , when both are less , or both greater than 90 ° . They are ...
... altitude , fixed at the zenith , and pass- ing through the east or west point . 6. Two arcs or angles , when compared together , are said to be alike , or of the same affection , when both are less , or both greater than 90 ° . They are ...
Página 109
... altitudes , to the radius of the sphere ; and , therefore , the solid angles at the vertices of right cones will be to the maximum solid angle , as the excess of the slant side above the axis of the cone , to the slant side of the cone ...
... altitudes , to the radius of the sphere ; and , therefore , the solid angles at the vertices of right cones will be to the maximum solid angle , as the excess of the slant side above the axis of the cone , to the slant side of the cone ...
Página 111
... altitude of the pyramid being to each side of the base , as 2 to 1 . Ans . Plane angle between each two la- teral faces ...... ..125 ° 22 ′ 35 ′′ between the base and each face .. Solid angle at the vertex 89-60648 Each ditto at the ...
... altitude of the pyramid being to each side of the base , as 2 to 1 . Ans . Plane angle between each two la- teral faces ...... ..125 ° 22 ′ 35 ′′ between the base and each face .. Solid angle at the vertex 89-60648 Each ditto at the ...
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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