Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
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Resultat 1-5 av 5
Side 13
With the Construction and Application of Logarithms Thomas Simpson. will be
known . Then because of the similar triangles CFE , CAT , and CDH , it will be (
by 14. 4. ) 1. CF : FE :: CA : AT ; whence the tangent is known , 2. CF : CE ( CA ) ::
CA ...
With the Construction and Application of Logarithms Thomas Simpson. will be
known . Then because of the similar triangles CFE , CAT , and CDH , it will be (
by 14. 4. ) 1. CF : FE :: CA : AT ; whence the tangent is known , 2. CF : CE ( CA ) ::
CA ...
Side 37
whence BCD is also known ; then ( by Cor . to Tbeor . 3. ) as fine ACD : fine BCD :
: co - fine A : co - fine B. Two angles A , Either of the ACB and the other sides , 7
lide AC be suppose BC twixt them As rad . : co - fine AC :: tang . A : co - tang .
whence BCD is also known ; then ( by Cor . to Tbeor . 3. ) as fine ACD : fine BCD :
: co - fine A : co - fine B. Two angles A , Either of the ACB and the other sides , 7
lide AC be suppose BC twixt them As rad . : co - fine AC :: tang . A : co - tang .
Side 55
Soo whence and BH parallel to AO , meeting GD in v and H : then it is plain ,
because Dm = Bm , that Du is = Hv , and mv = nG = En ; and that the triangles
OCF , Omn and mDv are similar ; whence we have the following proportions , OC
: Om ...
Soo whence and BH parallel to AO , meeting GD in v and H : then it is plain ,
because Dm = Bm , that Du is = Hv , and mv = nG = En ; and that the triangles
OCF , Omn and mDv are similar ; whence we have the following proportions , OC
: Om ...
Side 65
whence , also , CD = Cd , and HD = Hd ( by 15. 1. ) Therefore , the right - angled
triangles HAD and HBd , having AH = HB and HD = Hd , have , likewise , AD = Bd
( by 15. 1. ) From whence it is manifeft , thac CD will be equal to half the sum ...
whence , also , CD = Cd , and HD = Hd ( by 15. 1. ) Therefore , the right - angled
triangles HAD and HBd , having AH = HB and HD = Hd , have , likewise , AD = Bd
( by 15. 1. ) From whence it is manifeft , thac CD will be equal to half the sum ...
Side 73
With the Construction and Application of Logarithms Thomas Simpson. a First , it
will be , rad . : co - f . A :: T . AC : T. AB ( by Theor . 1. ) and therefore rad . + co - f .
A : rad . co - f . A :: T. AC + T. AB : T. AC -- T. AB : B whence , by arguing as in the
...
With the Construction and Application of Logarithms Thomas Simpson. a First , it
will be , rad . : co - f . A :: T . AC : T. AB ( by Theor . 1. ) and therefore rad . + co - f .
A : rad . co - f . A :: T. AC + T. AB : T. AC -- T. AB : B whence , by arguing as in the
...
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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