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
Resultados 6-10 de 38
Página 21
... base . PROP . XIX . C 19. As the sine of the difference of any two unequal angles , is to the difference of their sines , so is the sum of those sines , to the sine of the sum of the angles . Let A and B be the two unequal an- gles ...
... base . PROP . XIX . C 19. As the sine of the difference of any two unequal angles , is to the difference of their sines , so is the sum of those sines , to the sine of the sum of the angles . Let A and B be the two unequal an- gles ...
Página 27
... base , c at the vertex , then , according to the nature of the problem , write down the requisite proportion in four distinct lines , with the letters of reference to each term , and the given numbers to the three first : against these ...
... base , c at the vertex , then , according to the nature of the problem , write down the requisite proportion in four distinct lines , with the letters of reference to each term , and the given numbers to the three first : against these ...
Página 32
... base , then say , conformably with chap . ii . prop . 16 . As the base , · To the sum of the two other sides ; So is the difference of those sides , To the difference of the segments of the base . Half the base added to the said ...
... base , then say , conformably with chap . ii . prop . 16 . As the base , · To the sum of the two other sides ; So is the difference of those sides , To the difference of the segments of the base . Half the base added to the said ...
Página 34
... base ) . ( hyp . — base ) . 3. There is another method for right angled triangles , known by the phrase making any side radius ; which is this . " To find a side . Call any one of the sides radius , and write upon it the word radius ...
... base ) . ( hyp . — base ) . 3. There is another method for right angled triangles , known by the phrase making any side radius ; which is this . " To find a side . Call any one of the sides radius , and write upon it the word radius ...
Página 35
... base is assumed to be radius ; BC is the tangent of A , and Ac its secant , to that radius ; or , dividing each of these by the base , we shall have the tangent and A secant of A , respectively , to radius 1. Tracing in like manner ...
... base is assumed to be radius ; BC is the tangent of A , and Ac its secant , to that radius ; or , dividing each of these by the base , we shall have the tangent and A secant of A , respectively , to radius 1. Tracing in like manner ...
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