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 2
... radius of a certain circle ; and lines which at the same time depend altogether , for their value , upon arcs of that circle , which arcs are , themselves , adequate measures of the angles included between the radii which limit such ...
... radius of a certain circle ; and lines which at the same time depend altogether , for their value , upon arcs of that circle , which arcs are , themselves , adequate measures of the angles included between the radii which limit such ...
Página 3
... radius , CA , a circle be 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 ...
... radius , CA , a circle be 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 ...
Página 4
... radius CA , a circle be described , inter- secting CA , CB , in A , B , the arc AB is called the measure of the angle ACB . 10. The circumference of a circle is supposed to be divided , or to be divisible , into 360 equal parts , called ...
... radius CA , a circle be described , inter- secting CA , CB , in A , B , the arc AB is called the measure of the angle ACB . 10. The circumference of a circle is supposed to be divided , or to be divisible , into 360 equal parts , called ...
Página 5
... radius . 18. The cosine of an arc or angle , is the sine of the complement of that arc or angle : the cotangent of ... radius AC , and let AE be a qua- drantal arc ; let BD be demitted perpendicularly from the extre- AD mity в upon the ...
... radius . 18. The cosine of an arc or angle , is the sine of the complement of that arc or angle : the cotangent of ... radius AC , and let AE be a qua- drantal arc ; let BD be demitted perpendicularly from the extre- AD mity в upon the ...
Página 7
... radius , thence called the sine total ; the versed sine is also then equal to the radius ; and the secant and tangent becom- ing incapable of mutually limiting each other , are re- garded as infinite . ( E ) . The versed sine of an arc ...
... radius , thence called the sine total ; the versed sine is also then equal to the radius ; and the secant and tangent becom- ing incapable of mutually limiting each other , are re- garded as infinite . ( E ) . The versed sine of an arc ...
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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