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 1
... determine the positions and dimensions of the different parts of space , by means of the previous knowledge of some of those parts . 2. If we conceive any different points whatever , posited in space , to be joined one to another by ...
... determine the positions and dimensions of the different parts of space , by means of the previous knowledge of some of those parts . 2. If we conceive any different points whatever , posited in space , to be joined one to another by ...
Página 2
... determine the other three ; when it is possible . II . Knowing three of the six things which compose a triangle formed on the surface of a sphere , by the inter- sections of three planes , which also meet in the centre of that sphere ...
... determine the other three ; when it is possible . II . Knowing three of the six things which compose a triangle formed on the surface of a sphere , by the inter- sections of three planes , which also meet in the centre of that sphere ...
Página 3
... determine or compute three of the six parts of a plane , or rectilinear triangle , from the other three ; when that is possible . This limitation is necessary , although there is only one case in which it can occur , namely , that in ...
... determine or compute three of the six parts of a plane , or rectilinear triangle , from the other three ; when that is possible . This limitation is necessary , although there is only one case in which it can occur , namely , that in ...
Página 7
... determined by Euc . i . 47. The same may be said of the determination of the secant , from the tangent and radius , & c . & c . & c . ( G ) . Further , since CD : DB :: CA : AT , we see that the tangent is a fourth proportional to the ...
... determined by Euc . i . 47. The same may be said of the determination of the secant , from the tangent and radius , & c . & c . & c . ( G ) . Further , since CD : DB :: CA : AT , we see that the tangent is a fourth proportional to the ...
Página 22
... determined , the work might be continued by the last proposition , thus : sin 1 ' : sin 2 ' sin 2 ' : sin 3 ' sin 3 ' : sin 4 ' sin 4 ' : sin 5 ' & c . - -- - sin 1 ' :: sin 2 ' + sin l ' : sin 3 ' sin 1 ' :: sin 3 ' + sin 1 ' : sin 4 ...
... determined , the work might be continued by the last proposition , thus : sin 1 ' : sin 2 ' sin 2 ' : sin 3 ' sin 3 ' : sin 4 ' sin 4 ' : sin 5 ' & c . - -- - sin 1 ' :: sin 2 ' + sin l ' : sin 3 ' sin 1 ' :: sin 3 ' + sin 1 ' : sin 4 ...
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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