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 46
Side 4
... arch AB or DB . 7. The verfed fine of an arch is the part of the diameter intercepted between the fine and the pe- riphery . Thus AF is the verfed fine of AB ; and DF of DB . 8. The 8. The co - fine of an arch is the 4 Plane Trigonometry .
... arch AB or DB . 7. The verfed fine of an arch is the part of the diameter intercepted between the fine and the pe- riphery . Thus AF is the verfed fine of AB ; and DF of DB . 8. The 8. The co - fine of an arch is the 4 Plane Trigonometry .
Side 5
... co - tangent , and co - fecant , of an arch are the tangent , and fecant , of the complement of that arch . Thus HK and CK are the co- tangent and co - fecant of AB , + 12. A trigonometrical canon is a table exhi- biting the length of ...
... co - tangent , and co - fecant , of an arch are the tangent , and fecant , of the complement of that arch . Thus HK and CK are the co- tangent and co - fecant of AB , + 12. A trigonometrical canon is a table exhi- biting the length of ...
Side 12
... 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- cant , DH its co - tangent , and CH its co - fecant . CE Then ( by ...
... 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- cant , DH its co - tangent , and CH its co - fecant . CE Then ( by ...
Side 13
... co - fine and radius . 3. That the co - tangent is a fourth proportional to the fine , co - fine , and radius . 4. And that the co - fecant is a third proportional to the fine and radius . 5. It appears moreover ( because AT : AC :: CD ...
... co - fine and radius . 3. That the co - tangent is a fourth proportional to the fine , co - fine , and radius . 4. And that the co - fecant is a third proportional to the fine and radius . 5. It appears moreover ( because AT : AC :: CD ...
Side 14
... co - tang . P : tang . Q : co - tang . Q : tang . P ( by 10. 4. ) PROP . II . 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 , fo is the fine CF ...
... co - tang . P : tang . Q : co - tang . Q : tang . P ( by 10. 4. ) PROP . II . 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 , fo is the fine CF ...
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