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 9
... tangents , & c . In the small pocket tables these are usually omitted , and the logarithmic alone retained , as the most useful and expe- ditious in operation . Of the various trigonometrical tables which have been published at ...
... tangents , & c . In the small pocket tables these are usually omitted , and the logarithmic alone retained , as the most useful and expe- ditious in operation . Of the various trigonometrical tables which have been published at ...
Página 10
... tangent , and the tangent of half its complement . In the annexed diagram , where AB is the proposed arc , let the tangent TA be produced downwards till TA + AR = CT the secant . Then , since angle R is the complement of ACR , and of ...
... tangent , and the tangent of half its complement . In the annexed diagram , where AB is the proposed arc , let the tangent TA be produced downwards till TA + AR = CT the secant . Then , since angle R is the complement of ACR , and of ...
Página 11
... tangent of an arc of 45 ° is equal to the radius . Suppose AB in the last figure but one were an arc of 45 ° ; then would ACB be half a right angle , and conse- quently its complement ATC . The sides AT , and AC , opposite to those ...
... tangent of an arc of 45 ° is equal to the radius . Suppose AB in the last figure but one were an arc of 45 ° ; then would ACB be half a right angle , and conse- quently its complement ATC . The sides AT , and AC , opposite to those ...
Página 14
... tangents of two arcs , is to the square of the radius ; so is the sum or differ- ence of their tangents , to the tangent of the sum or dif- ference of the arcs . Let AB , AD , be the two arcs ; AT , AR , their tangents ; also let вs in ...
... tangents of two arcs , is to the square of the radius ; so is the sum or differ- ence of their tangents , to the tangent of the sum or dif- ference of the arcs . Let AB , AD , be the two arcs ; AT , AR , their tangents ; also let вs in ...
Página 15
... tangent of half the sum of those two arcs , to the tangent of half their difference . Let AE and AB be two unequal arcs , of which EK and BG , are the sines ; and let Eк be produced to cut the circle in D , and BI be drawn parallel to ...
... tangent of half the sum of those two arcs , to the tangent of half their difference . Let AE and AB be two unequal arcs , of which EK and BG , are the sines ; and let Eк be produced to cut the circle in D , and BI be drawn parallel to ...
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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