Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Resultat 1-5 av 5
Side 12
is less than the given side BC , adjacent to it ( except the angle found is exactly a
right one ) : for then another right - line Ba , equal to BA , may be drawn from B to
a point in the base , somewhere between C and the perpendicular BD , and ...
is less than the given side BC , adjacent to it ( except the angle found is exactly a
right one ) : for then another right - line Ba , equal to BA , may be drawn from B to
a point in the base , somewhere between C and the perpendicular BD , and ...
Side 37
Given sought Solution . angle B ( Two angles A , The other As rad . ; Co - fine AC
:: tang A : ACB and the co - tang . ACD ( by Tbeor . 5. ) whence 6 fide AC beBCD
is also known ; then ( by Cor . twixt them . to Theor . 3. ) as fine ACD i fiue BCD ...
Given sought Solution . angle B ( Two angles A , The other As rad . ; Co - fine AC
:: tang A : ACB and the co - tang . ACD ( by Tbeor . 5. ) whence 6 fide AC beBCD
is also known ; then ( by Cor . twixt them . to Theor . 3. ) as fine ACD i fiue BCD ...
Side 71
The hypothenuse AC , and the Jum , or difference , of the legs AB , BC , of a right
- angled spherical triengle ABC , being given , to determine the triangle . Let AE
be the fum , and AF the difference of the two legs . Because , radius : CO - s .
The hypothenuse AC , and the Jum , or difference , of the legs AB , BC , of a right
- angled spherical triengle ABC , being given , to determine the triangle . Let AE
be the fum , and AF the difference of the two legs . Because , radius : CO - s .
Side 72
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. PROP . XXI . One leg BC and the fun
, or difference , of the bypothenuse and the other leg AB being given , to
determine ...
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. PROP . XXI . One leg BC and the fun
, or difference , of the bypothenuse and the other leg AB being given , to
determine ...
Side 78
... BC From whence we have the following theorem , for solving the uth case of
oblique triangles , where the three sides are given , to find an angle . As the
rectangle of the lines of the two sides , including the proposed angle , is to the
rectangle ...
... BC From whence we have the following theorem , for solving the uth case of
oblique triangles , where the three sides are given , to find an angle . As the
rectangle of the lines of the two sides , including the proposed angle , is to the
rectangle ...
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Vanlige uttrykk og setninger
added alſo appears arch balf baſe becauſe called caſe chord circle co-f co-fine AC co-tang common complement conſequently COROL COROLLARY demonſtrated determine diameter difference divided drawn Edition equal equal to half evident exceſs extremes fame fides fine fines firſt follows given gives gles great-circles greater half the difference half the ſum Hence hyperbolic logarithm hypothenuſe known laſt logarithm manifeſt meeting method minute Moreover natural Note oppoſite parallel perpendicular plane triangle ABC preceding PROP proportion propoſed radius reſpectively ſame ſecant ſee ſeries ſhall ſides ſince ſine ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence