Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
Inni boken
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
Case Given Sought Solution . Two angles A , ACB and the 6 fide AC betwixt them
The other angle B As rad , : co - line AC :: tang . A : co - tang . ACD ( by Tbeor.g . )
whence BCD is also known ; then ( by Cor . to Tbeor . 3. ) as fine ACD : fine ...
Case Given Sought Solution . Two angles A , ACB and the 6 fide AC betwixt them
The other angle B As rad , : co - line AC :: tang . A : co - tang . ACD ( by Tbeor.g . )
whence BCD is also known ; then ( by Cor . to Tbeor . 3. ) as fine ACD : fine ...
Side 53
с Lastly , in the rightangled spherical triangle ABC , let there be given the
hypothenuse AC = 60 ° , and the angle A = 23 ° 29 ' ; to find the bafe B. and
perpendicular . Then ( by Tbeor . 1.p.25 . ) the operation will be as follows : Log .
radius 10 ...
с Lastly , in the rightangled spherical triangle ABC , let there be given the
hypothenuse AC = 60 ° , and the angle A = 23 ° 29 ' ; to find the bafe B. and
perpendicular . Then ( by Tbeor . 1.p.25 . ) the operation will be as follows : Log .
radius 10 ...
Side 72
With the Construction and Application of Logarithms Thomas Simpson. 1 PROP .
XXI . One leg BC and the fum , or difference , of the bypothenuse and the other
leg AB being given , to determine the bypothenuse ( see the last figure . ) ...
With the Construction and Application of Logarithms Thomas Simpson. 1 PROP .
XXI . One leg BC and the fum , or difference , of the bypothenuse and the other
leg AB being given , to determine the bypothenuse ( see the last figure . ) ...
Side 78
S. ; C = R ? X S. ŽAB + AF X S. ZAB - AF S. AC X S. BC From whence we have
the following theorem , for solving the 11th case of oblique triangles , where the
three sides are given , to find an angle . As the rectangle of the fines of the two
fides ...
S. ; C = R ? X S. ŽAB + AF X S. ZAB - AF S. AC X S. BC From whence we have
the following theorem , for solving the 11th case of oblique triangles , where the
three sides are given , to find an angle . As the rectangle of the fines of the two
fides ...
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Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |
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 determine diameter difference divided drawn equal equal to half evident exceſs extremes fide AC fine fines firſt follows given gives gles greater half the ſum half their difference Hence hyperbolic logarithm hypothenuſe laſt logarithm manifeft meeting method minute moreover Note oppoſite parallel perpendicular plane triangle ABC preceding progreſſion PROP proportion propoſed radius rectangle reſpectively right-angled ſame ſecant ſee ſeries ſhall ſides ſince ſine ſpherical Spherical triangle ABC ſubtracted ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence