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
... centre of that sphere , to determine the other three , when pos- sible . The resolution of the first of these general problems appertains to plane or rectilinear trigonometry : that of the second , to spherical trigonometry . 4. Lines ...
... centre of that sphere , to determine the other three , when pos- sible . The resolution of the first of these general problems appertains to plane or rectilinear trigonometry : that of the second , to spherical trigonometry . 4. Lines ...
Página 3
... centre , and with any distance , or 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 ...
... centre , and with any distance , or 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 ...
Página 4
... centre with any two distances CA ' , CA , two circles be 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 ...
... centre with any two distances CA ' , CA , two circles be 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 ...
Página 5
... centre of the circle through the other extre- mity . 16. The secant of an arc is the sloping line which thus limits the tangent . 17. These are also , by way of accommodation , said to be the sine , tangent , & c . of the angle measured ...
... centre of the circle through the other extre- mity . 16. The secant of an arc is the sloping line which thus limits the tangent . 17. These are also , by way of accommodation , said to be the sine , tangent , & c . of the angle measured ...
Página 11
... 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 ° ; then would ACB ...
... 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 ° ; then would ACB ...
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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