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 10
Página 11
... bisects the base . 3. BAT comp . 60 ° BTA ; therefore BT = BA ; and TB + BC = TC = 2BC = 2 radius . Cor . If with the same radius an arc were described from centre B , then CD would become the sine of 30 ° , which is consequently half ...
... bisects the base . 3. BAT comp . 60 ° BTA ; therefore BT = BA ; and TB + BC = TC = 2BC = 2 radius . Cor . If with the same radius an arc were described from centre B , then CD would become the sine of 30 ° , which is consequently half ...
Página 81
... bisect each other . For , as they have a common centre , their common section will be a diameter ; and that manifestly bisects them . 14. The small circles of the sphere do not fall under consideration in spherical trigonometry ; but ...
... bisect each other . For , as they have a common centre , their common section will be a diameter ; and that manifestly bisects them . 14. The small circles of the sphere do not fall under consideration in spherical trigonometry ; but ...
Página 110
... through the vertex and any two opposite angles of the base , that plane will bisect the solid angle at the vertex ; forming two trila- 7 teral angles , each equal to half the original quadrilateral 110 Spherical Trigonometry .
... through the vertex and any two opposite angles of the base , that plane will bisect the solid angle at the vertex ; forming two trila- 7 teral angles , each equal to half the original quadrilateral 110 Spherical Trigonometry .
Página 111
... bisect the great circle diagonal of the spherical parallelogram cut off by the base of the pyra- mid ; and any great circle bisecting such diagonal is known to bisect the spherical parallelogram , or square ; the plane , therefore , bisects ...
... bisect the great circle diagonal of the spherical parallelogram cut off by the base of the pyra- mid ; and any great circle bisecting such diagonal is known to bisect the spherical parallelogram , or square ; the plane , therefore , bisects ...
Página 127
... bisect ST ; but Ks < KT . Bisect ST in m , then ms = mr = radius of circle of projection ; and cs , cm , CT , will be in arithmetical progression . Hence , . cm = crcstán AF + tan AB = sin ( AF + AE ) = sin AP 2 cos & AF COS AE 2 cos ...
... bisect ST ; but Ks < KT . Bisect ST in m , then ms = mr = radius of circle of projection ; and cs , cm , CT , will be in arithmetical progression . Hence , . cm = crcstán AF + tan AB = sin ( AF + AE ) = sin AP 2 cos & AF COS AE 2 cos ...
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