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 iv
... theorems : but they are so obscured by a defective notation , that the perusal of greater part of the book must , to a mathematical student , be as perplexing as the solution of a perpetual string of enigmas . It has been my aim to ...
... theorems : but they are so obscured by a defective notation , that the perusal of greater part of the book must , to a mathematical student , be as perplexing as the solution of a perpetual string of enigmas . It has been my aim to ...
Página vi
... theorems . 1. It is more concise , and therefore allows of the in- troduction of a much greater quantity and variety of matter ... theorem may not have the remotest analogy to that which will serve to establish the truth of another . The ...
... theorems . 1. It is more concise , and therefore allows of the in- troduction of a much greater quantity and variety of matter ... theorem may not have the remotest analogy to that which will serve to establish the truth of another . The ...
Página vii
... theorems to be found in the analytical treatises on trigonometry , which have not yet , to my knowledge , been demon- strated in any other way ; and not a few which I am persuaded do not admit of any other kind of proof . 3. This method ...
... theorems to be found in the analytical treatises on trigonometry , which have not yet , to my knowledge , been demon- strated in any other way ; and not a few which I am persuaded do not admit of any other kind of proof . 3. This method ...
Página 8
... theorems , some of which will be demonstrated as we proceed , ma- thematicians have computed the lengths of the sines , tangents , secants , and versed sines , to an assumed ra- dius , that correspond to arcs from 1 second of a degree ...
... theorems , some of which will be demonstrated as we proceed , ma- thematicians have computed the lengths of the sines , tangents , secants , and versed sines , to an assumed ra- dius , that correspond to arcs from 1 second of a degree ...
Página 15
... theorem enun- ciated above . - Cor . The sum of the cosines of two arcs , is to their difference , as the cotangent of half the sum of those two arcs , is to the cotangent of half their difference . For , the cosines being the sines of ...
... theorem enun- ciated above . - Cor . The sum of the cosines of two arcs , is to their difference , as the cotangent of half the sum of those two arcs , is to the cotangent of half their difference . For , the cosines being the sines of ...
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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