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 |
Dentro del libro
Página vi
... demonstration of one property or theorem may not have the remotest analogy to that which will serve to establish the truth of another . The demonstrations of a series of propositions such as are ob- viously connected in the logical ...
... demonstration of one property or theorem may not have the remotest analogy to that which will serve to establish the truth of another . The demonstrations of a series of propositions such as are ob- viously connected in the logical ...
Página vii
... demonstration of the two propositions may be as dis- tinct ( if I may be pardoned so familiar an allusion ) as the processes by which a sword and a needle are ma- nufactured . In the one case both are geometrical , in the other both are ...
... demonstration of the two propositions may be as dis- tinct ( if I may be pardoned so familiar an allusion ) as the processes by which a sword and a needle are ma- nufactured . In the one case both are geometrical , in the other both are ...
Página ix
... demonstration , that a proposition is true or false : it is a totally distinct one to be able to inves- tigate propositions which shall inevitably be true . In this point of view I have often been struck with what I cannot but regard as ...
... demonstration , that a proposition is true or false : it is a totally distinct one to be able to inves- tigate propositions which shall inevitably be true . In this point of view I have often been struck with what I cannot but regard as ...
Página 18
... demonstration . Otherwise . From c the vertical angle of the triangle let fall the perpendicular CD upon AB , or AB produced , according as the angles A and B are both acute , or one obtuse . A Then ( prop . 13 ) AC : CD :: rad : sin a ...
... demonstration . Otherwise . From c the vertical angle of the triangle let fall the perpendicular CD upon AB , or AB produced , according as the angles A and B are both acute , or one obtuse . A Then ( prop . 13 ) AC : CD :: rad : sin a ...
Página 59
... , BC , and ABC is the required triangle . Demonstration . The sides CB , BA , AC , are three cop- secutive terms in the series of natural numbers ( by const . ) From c upon AB demit the perp Applications of the Formula . 59.
... , BC , and ABC is the required triangle . Demonstration . The sides CB , BA , AC , are three cop- secutive terms in the series of natural numbers ( by const . ) From c upon AB demit the perp Applications of the Formula . 59.
Otras ediciones - Ver todas
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