Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
Inni boken
Resultat 1-5 av 5
Side 8
THEOREM V. 1 In any plane triangle , it will be , as the sum of any two fides is to
their difference , so is the tangent of balf the sum of the two opposite angles , to
the tangent of half their difference . 2 B. For , let ABC be the triangle , and AB and
...
THEOREM V. 1 In any plane triangle , it will be , as the sum of any two fides is to
their difference , so is the tangent of balf the sum of the two opposite angles , to
the tangent of half their difference . 2 B. For , let ABC be the triangle , and AB and
...
Side 14
C If there be three equidifferent arches AB , AC , AD , it will be , as radius is to the
co - fine of their common difference BC , or CD , so is the fine CF , of the mean , to
half the sum of the fines BE + DG , of the two extremes : and , as radius to the ...
C If there be three equidifferent arches AB , AC , AD , it will be , as radius is to the
co - fine of their common difference BC , or CD , so is the fine CF , of the mean , to
half the sum of the fines BE + DG , of the two extremes : and , as radius to the ...
Side 30
E. D. LE M M A. As the sum of the fines of two unequat arches is to their
difference , so is the tangent of half the Sum of those arches to the tangent of half
their difference : and , as the sum of the co - lines is to their difference , so is the
co ...
E. D. LE M M A. As the sum of the fines of two unequat arches is to their
difference , so is the tangent of half the Sum of those arches to the tangent of half
their difference : and , as the sum of the co - lines is to their difference , so is the
co ...
Side 31
1 L D For , let AB and R AC bethetwo pro posed arches , and Jet BG and CH be
their fines , and OG and OH their co . ... as the co - tangent of half the sum of the
two fides is to the tangent of half their difference , so is the co - tångent of half the
...
1 L D For , let AB and R AC bethetwo pro posed arches , and Jet BG and CH be
their fines , and OG and OH their co . ... as the co - tangent of half the sum of the
two fides is to the tangent of half their difference , so is the co - tångent of half the
...
Side 74
... ADE , baving one angle A common , let there be given the two perpendiculars
BC , DE and the fum , or difference , of the ... two perpendiculars , is to the tangent
of half their difference ; so is the tangent of half the fun of the two hypotbenuses ...
... ADE , baving one angle A common , let there be given the two perpendiculars
BC , DE and the fum , or difference , of the ... two perpendiculars , is to the tangent
of half their difference ; so is the tangent of half the fun of the two hypotbenuses ...
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Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |
Trigonometry: Plane and Spherical; with the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |
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