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 6
... Note . These terms are indicated by obvious con- tractions : Thus , for sine of the arc AB we use sin AB , tangent .... ditto .... secant .... ditto . versed sine ditto cosine ...... ditto cotangent .. ditto ... cosecant .... ditto ...
... Note . These terms are indicated by obvious con- tractions : Thus , for sine of the arc AB we use sin AB , tangent .... ditto .... secant .... ditto . versed sine ditto cosine ...... ditto cotangent .. ditto ... cosecant .... ditto ...
Página 26
... Note 1. Since sines are lines , there can be no impro- priety in comparing them with the sides of triangles ; and the rule is better remembered by young mathema- ticians , than when the sines and sides are compared each to each . Note 2 ...
... Note 1. Since sines are lines , there can be no impro- priety in comparing them with the sides of triangles ; and the rule is better remembered by young mathema- ticians , than when the sines and sides are compared each to each . Note 2 ...
Página 27
... note 2 , and ascer- tain its angular or lineal value , by means of the tables . ** The last three notes are not restricted to the present case , but extend in their application to the usual practice of plane trigonometry . Example I. 3 ...
... note 2 , and ascer- tain its angular or lineal value , by means of the tables . ** The last three notes are not restricted to the present case , but extend in their application to the usual practice of plane trigonometry . Example I. 3 ...
Página 39
... infinite distance . The principal changes , then , in point of magnitude , may be easily traced , and tabulated as below ; where the sign ∞ de- notes infinity . 0 ° .... 90 ° .... 180 ° .... 270 Analytical Investigation of Properties . 39.
... infinite distance . The principal changes , then , in point of magnitude , may be easily traced , and tabulated as below ; where the sign ∞ de- notes infinity . 0 ° .... 90 ° .... 180 ° .... 270 Analytical Investigation of Properties . 39.
Página 53
... notes the angle opposite to the side a , we shall have τα tana . But , since a is supposed greater than 6 , this angle will be greater than half a right angle , or will be measured by an arc greater than 45 ° . Hence , because tam ...
... notes the angle opposite to the side a , we shall have τα tana . But , since a is supposed greater than 6 , this angle will be greater than half a right angle , or will be measured by an arc greater than 45 ° . Hence , because tam ...
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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