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 |
Inni boken
Resultat 1-5 av 9
Side 12
... ( see fig . 2. ) is lefs than the given fide 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 ...
... ( see fig . 2. ) is lefs than the given fide 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 ...
Side 19
... 3d rules , the fines of all the other intermediate arches are had , by addition and subtraction only . See the operation . ng at m € 2 , 000290 , 000290 4915 excess , 0000000050 , 05233595 , 0002904915 of Sines , Tangents , and Secants .
... 3d rules , the fines of all the other intermediate arches are had , by addition and subtraction only . See the operation . ng at m € 2 , 000290 , 000290 4915 excess , 0000000050 , 05233595 , 0002904915 of Sines , Tangents , and Secants .
Side 21
... ( See the rule ) gives , 00000007298 , & c . or , 0000000730 , nearly , for the firft product ( which is exact enough for our purpose ) ; therefore the 2d pro- duct , or , 0000000730 X 22 , will be , 0000016060 ; which , added to of the ...
... ( See the rule ) gives , 00000007298 , & c . or , 0000000730 , nearly , for the firft product ( which is exact enough for our purpose ) ; therefore the 2d pro- duct , or , 0000000730 X 22 , will be , 0000016060 ; which , added to of the ...
Side 28
... ( See Cor . 4. p . 25. ) 2. E. D.J B COROLLARY . Hence , if two right- angled spherical trian- gles ABC , CBD have the fame perpendicular D BC , the co - fines of their hypothenuses will be to each other , directly , as the co - fines of ...
... ( See Cor . 4. p . 25. ) 2. E. D.J B COROLLARY . Hence , if two right- angled spherical trian- gles ABC , CBD have the fame perpendicular D BC , the co - fines of their hypothenuses will be to each other , directly , as the co - fines of ...
Side 29
... ( See the last figure ) , the co - fines of the angles at the bafe will be to each other , directly , as the fines of the vertical angles : For radius : fine BCA :: co - fine CB : co - fine A , fince radius : fine BCD :: co - fine CB : co ...
... ( See the last figure ) , the co - fines of the angles at the bafe will be to each other , directly , as the fines of the vertical angles : For radius : fine BCA :: co - fine CB : co - fine A , fince radius : fine BCD :: co - fine CB : co ...
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