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 1-5 de 19
Página 3
... described , intersecting CA , CB , the right lines that include the angle ACB , in A and B ; the angle ACB will be to four right angles , as the arc AB to the whole circumference of the circle ADFE . Produce AC to meet the circle in F ...
... described , intersecting CA , CB , the right lines that include the angle ACB , in A and B ; the angle ACB will be to four right angles , as the arc AB to the whole circumference of the circle ADFE . Produce AC to meet the circle in F ...
Página 4
... described , meeting ca , câ , in a ' , B ' , A , B ; the arc AB will be to the whole circumference of which it is a part , as the arc A'B ' to the whole circumference of which it is a part . By , lem . 1 , arc AB : whole circum ...
... described , meeting ca , câ , in a ' , B ' , A , B ; the arc AB will be to the whole circumference of which it is a part , as the arc A'B ' to the whole circumference of which it is a part . By , lem . 1 , arc AB : whole circum ...
Página 5
... described with the radius AC , and let AE be a qua- drantal arc ; let BD be demitted perpendicularly from the extre- AD mity в upon the diameter AA ' ; parallel to it let AT be drawn T and limited by CT : let GB and EM be drawn parallel ...
... described with the radius AC , and let AE be a qua- drantal arc ; let BD be demitted perpendicularly from the extre- AD mity в upon the diameter AA ' ; parallel to it let AT be drawn T and limited by CT : let GB and EM be drawn parallel ...
Página 11
... described from centre B , then CD would become the sine of 30 ° , which is consequently half the radius . PROP . VI . 6. The tangent of an arc of 45 ° is equal to the radius . Suppose AB in the last figure but one were an arc of 45 ...
... described from centre B , then CD would become the sine of 30 ° , which is consequently half the radius . PROP . VI . 6. The tangent of an arc of 45 ° is equal to the radius . Suppose AB in the last figure but one were an arc of 45 ...
Página 63
... described here . The student may , with- out being detained by farther observations , proceed to the solution of the following problems . EXAMPLE I. In order to ascertain my distance from a tower , which was inaccessible by reason of an ...
... described here . The student may , with- out being detained by farther observations , proceed to the solution of the following problems . EXAMPLE I. In order to ascertain my distance from a tower , which was inaccessible by reason of an ...
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