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 14
Side 3
... circles , but allo certain right - lines in , and about , the circle , be fuppofed divided into fome affigned number of equal parts . 2. The periphery of every circle is fuppofed to be divided into 360 equal parts , called degrees ; and ...
... circles , but allo certain right - lines in , and about , the circle , be fuppofed divided into fome affigned number of equal parts . 2. The periphery of every circle is fuppofed to be divided into 360 equal parts , called degrees ; and ...
Side 4
... circle is called A an arch , and is faid to be the measure of the angle ACB at- the center , which it fubtends . s Note , The degrees , minutes , feconds , & c . con- tained in any arck , or angle , are wrote in this manner , 50 ° 18 ...
... circle is called A an arch , and is faid to be the measure of the angle ACB at- the center , which it fubtends . s Note , The degrees , minutes , feconds , & c . con- tained in any arck , or angle , are wrote in this manner , 50 ° 18 ...
Side 5
... circle in one extremity of that arch , produced from thence till it meets a right - line paning through the center and the other extre- mity . Thus AG is the tangent of the arch AB . 10. The fecant of an arch is a night - line reaching ...
... circle in one extremity of that arch , produced from thence till it meets a right - line paning through the center and the other extre- mity . Thus AG is the tangent of the arch AB . 10. The fecant of an arch is a night - line reaching ...
Side 18
... circle ) let the co - fine of 3 ° , the difference between 18 ° and 15o , be found * ; from which the co - fine of 45 ′ will be had , by two bi- fections only whence the fines of all the arches in the progreffion 1 ° 30 ′ , 2 ° 15 ′ , 3 ...
... circle ) let the co - fine of 3 ° , the difference between 18 ° and 15o , be found * ; from which the co - fine of 45 ′ will be had , by two bi- fections only whence the fines of all the arches in the progreffion 1 ° 30 ′ , 2 ° 15 ′ , 3 ...
Side 23
... circle . 3. A fpherical angle is the inclination of two great - circles . 4. A fpherical triangle is a part of the furface of the fphere included by the arches of three great - circles ; which arches are called the fides of the triangle ...
... circle . 3. A fpherical angle is the inclination of two great - circles . 4. A fpherical triangle is a part of the furface of the fphere included by the arches of three great - circles ; which arches are called the fides of the triangle ...
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