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 2
... measured only by parts of an assigned line , the radius of a certain circle ; and lines which at the same time depend altogether , for their value , upon arcs of that circle , which arcs are , themselves , adequate measures of the ...
... measured only by parts of an assigned line , the radius of a certain circle ; and lines which at the same time depend altogether , for their value , upon arcs of that circle , which arcs are , themselves , adequate measures of the ...
Página 5
... measured by the aforesaid arc , to its determinate radius . 18. The cosine of an arc or angle , is the sine of the complement of that arc or angle : the cotangent of an arc or angle is the tangent of the complement of that arc or angle ...
... measured by the aforesaid arc , to its determinate radius . 18. The cosine of an arc or angle , is the sine of the complement of that arc or angle : the cotangent of an arc or angle is the tangent of the complement of that arc or angle ...
Página 27
... measured upon the scale of equal parts . from which AB was laid down , are found to be 159 and 351 respectively . Computation . Two of the angles being known , their sum 80 ° 44 ' taken from 180 ° , the sum of the angles in a plane ...
... measured upon the scale of equal parts . from which AB was laid down , are found to be 159 and 351 respectively . Computation . Two of the angles being known , their sum 80 ° 44 ' taken from 180 ° , the sum of the angles in a plane ...
Página 29
... measured , give .... AB = 117 .... ACB = 2210 ABC 13430 AB ' = 282 .... ACB ' 112 ° = .... Computation . To find the angle в . AB'C = 4510 . As BC .... 117 ...... 2.0681859 To sin A 22 ° 37 ' .... .. So is AC .. 9.5849685 216 ...... 2 ...
... measured , give .... AB = 117 .... ACB = 2210 ABC 13430 AB ' = 282 .... ACB ' 112 ° = .... Computation . To find the angle в . AB'C = 4510 . As BC .... 117 ...... 2.0681859 To sin A 22 ° 37 ' .... .. So is AC .. 9.5849685 216 ...... 2 ...
Página 53
... measured by an arc greater than 45 ° . Hence , because tam ( « —45 ° ) — ·· and because tan 45 ° R = 1 , we have tan ( a GONG · 45 ° ) = ( ~~~ 1 ) +1+ Consequently , from equa . ( 3 ) -b tan ( A —B ) = a + b tan ( A + B ) tana- tan 45 ...
... measured by an arc greater than 45 ° . Hence , because tam ( « —45 ° ) — ·· and because tan 45 ° R = 1 , we have tan ( a GONG · 45 ° ) = ( ~~~ 1 ) +1+ Consequently , from equa . ( 3 ) -b tan ( A —B ) = a + b tan ( A + B ) tana- tan 45 ...
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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