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 vii
... rules ; and they com- monly lead to universal results , from which particular corollaries are deducible at pleasure . The analytical method is at the same time much the most comprehen- sive . There are several curious and useful ...
... rules ; and they com- monly lead to universal results , from which particular corollaries are deducible at pleasure . The analytical method is at the same time much the most comprehen- sive . There are several curious and useful ...
Página 6
... rules for men- suration of surfaces , ¿ CA × arc AB is less than ¿ CA × tan AT ; whence , dividing by CA , there results arc AB less than tangent AT . In a similar way it may be seen that chord AB , is less than arc AB , and sine BD ...
... rules for men- suration of surfaces , ¿ CA × arc AB is less than ¿ CA × tan AT ; whence , dividing by CA , there results arc AB less than tangent AT . In a similar way it may be seen that chord AB , is less than arc AB , and sine BD ...
Página 24
... be imagined that 20 distinct rules would be required in this branch of trigonometry . But though the varieties of data are in truth thus numerous , it will soon appear , that the number of cases which require 24 Plane Trigonometry .
... be imagined that 20 distinct rules would be required in this branch of trigonometry . But though the varieties of data are in truth thus numerous , it will soon appear , that the number of cases which require 24 Plane Trigonometry .
Página 25
... rules , are very few . Let A , B , C , denote the angles of a plane triangle , and a , b , C , the sides respec- tively opposite ; then the twenty varieties of data will be these , viz . ( 3 ) abc ... ( 1 ) abs ( 1 ) aca ( 2 ) bca ...
... rules , are very few . Let A , B , C , denote the angles of a plane triangle , and a , b , C , the sides respec- tively opposite ; then the twenty varieties of data will be these , viz . ( 3 ) abc ... ( 1 ) abs ( 1 ) aca ( 2 ) bca ...
Página 26
... rule is better remembered by young mathema- ticians , than when the sines and sides are compared each to each . Note 2. It is usually , though not always , best to work the proportions in trigonometry by means of the loga- rithms ...
... rule is better remembered by young mathema- ticians , than when the sines and sides are compared each to each . Note 2. It is usually , though not always , best to work the proportions in trigonometry by means of the loga- rithms ...
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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