Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S.F. Wingrave, successor to Mr. Nourse, 1799 - 79 sider |
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Resultat 1-5 av 28
Side 4
... arch , or angle , contains 50 degrees , 18 minutes , and 35 fe- conds . 4. The difference of any arch from 90 ° ( or a quadrant ) is called its complement ; and its dif- ference from 180 ° ( or a femicircle ) its fupple- ment . 5. A ...
... arch , or angle , contains 50 degrees , 18 minutes , and 35 fe- conds . 4. The difference of any arch from 90 ° ( or a quadrant ) is called its complement ; and its dif- ference from 180 ° ( or a femicircle ) its fupple- ment . 5. A ...
Side 5
... arch . Thus CF is the co - fine of the arch AB , and is equal to BI , the fine of its comple- ment HB . * 9. The tangent of an arch is a right line . touching the circle in one extremity of that arch , produced from thence till it meets ...
... arch . Thus CF is the co - fine of the arch AB , and is equal to BI , the fine of its comple- ment HB . * 9. The tangent of an arch is a right line . touching the circle in one extremity of that arch , produced from thence till it meets ...
Side 6
... arch EF ( Vid . Def . 3. and 6. ) ; then , • BD F because of the fimi- lar triangles ACB and AED , it will be AC : BC :: AE : ED ( by 14.4 . ) 2. E. D .... Thus , if AC , 75 , and BC , 45 ; then it will be , 75,45 ( radius ) : the fine ...
... arch EF ( Vid . Def . 3. and 6. ) ; then , • BD F because of the fimi- lar triangles ACB and AED , it will be AC : BC :: AE : ED ( by 14.4 . ) 2. E. D .... Thus , if AC , 75 , and BC , 45 ; then it will be , 75,45 ( radius ) : the fine ...
Side 12
... arch being given , to find its co- fine , verfed fine , tangent , co - tangent , fecant , and co - fecant . A H C F E T A. Let AE be the propofed arch , EF its fine , CF its co - fine , AF its verfed fine , AT its tangent , CT its fe ...
... arch being given , to find its co- fine , verfed fine , tangent , co - tangent , fecant , and co - fecant . A H C F E T A. Let AE be the propofed arch , EF its fine , CF its co - fine , AF its verfed fine , AT its tangent , CT its fe ...
Side 13
... arches ( represented by P and Q ) are to one another , inversely as the tangents of the fame arches : for , fince tang . P x co - tang . P = = fqu . rad . tang . Qx co - tang . Q ; therefore will co- tang . L tang . P : co - tang . Q of ...
... arches ( represented by P and Q ) are to one another , inversely as the tangents of the fame arches : for , fince tang . P x co - tang . P = = fqu . rad . tang . Qx co - tang . Q ; therefore will co- tang . L tang . P : co - tang . Q of ...
Vanlige uttrykk og setninger
5th rem AB by Theor AC by Theor AC-BC AC+BC adjacent angle alfo alfo known alfo let alſo arch bafe baſe becauſe bifecting cafe chord circle co-f co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY diameter dius equal to half excefs fame fecant fecond feries fhall fides AC fince fines firft firſt fpherical triangle ABC fquare fubtracted fupplement fuppofed garithms gles great-circles half the difference half the fum half the vertical Hence hyperbolic logarithm hypothenufe interfect laft leffer leg BC likewife LUKE HANSARD moreover oppofite angle pendicular perpendicular plane triangle ABC progreffion PROP propofed proportion radius reafon refpectively right-angled spherical triangle right-line ſhall ſphere tang tangent of half THEOREM theſe thofe Trigonometry verfed vertical angle whence whofe