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 vi
... regarded as per- forming a trifling service to the English student . I am aware that there are some persons , into whose hands this work may fall , who will not approve it as they would have done had the demonstrations been exclu ...
... regarded as per- forming a trifling service to the English student . I am aware that there are some persons , into whose hands this work may fall , who will not approve it as they would have done had the demonstrations been exclu ...
Página 8
... regarded as the radius of the 1 ) . 2. tan = √ ( sec2 4. cosec√ ( 1 + cot2 ) . 1 7. sec . 8. cosec = - COS sin 20. From these and other properties and theorems , some of which will be demonstrated as we proceed , ma- thematicians have ...
... regarded as the radius of the 1 ) . 2. tan = √ ( sec2 4. cosec√ ( 1 + cot2 ) . 1 7. sec . 8. cosec = - COS sin 20. From these and other properties and theorems , some of which will be demonstrated as we proceed , ma- thematicians have ...
Página 22
... regarded as the sine of 1 ' ; and in fact the sine given in the tables which run to seven places of figures is 0002909. By chap . i . art . 19 , we have , for any arc , COS = ( sin2 ) . This theorem gives , in the pre- sent case , cos 1 ...
... regarded as the sine of 1 ' ; and in fact the sine given in the tables which run to seven places of figures is 0002909. By chap . i . art . 19 , we have , for any arc , COS = ( sin2 ) . This theorem gives , in the pre- sent case , cos 1 ...
Página 37
... ' , the sine diminishes , but is to be regarded as positive till the are becomes AEA ' or 180 ° . In that state of the arc the value of the sine is obviously 0. Passing on to the third quadrant , Analytical Plane Trigonometry . 37.
... ' , the sine diminishes , but is to be regarded as positive till the are becomes AEA ' or 180 ° . In that state of the arc the value of the sine is obviously 0. Passing on to the third quadrant , Analytical Plane Trigonometry . 37.
Página 38
... regarded as negative . In this state it continues to increase through the third quadrant , at the end E ' of which it is again equal to radius . From thence the ne- gative value of the sine diminishes , till at the end a of the fourth ...
... regarded as negative . In this state it continues to increase through the third quadrant , at the end E ' of which it is again equal to radius . From thence the ne- gative value of the sine diminishes , till at the end a of the fourth ...
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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