Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 79 sider |
Inni boken
Resultat 1-5 av 14
Side 9
... proportion will become , Abc АСЬ Radius tang . ABC + ACB tang . 2 2 : tang . ( = AbC — 45 ° ) :: ABC ACB Which 2 ... proportions , is commonly ufed by Aftronomers in determining the elongation and parallaxes of the planets ( being beft ...
... proportion will become , Abc АСЬ Radius tang . ABC + ACB tang . 2 2 : tang . ( = AbC — 45 ° ) :: ABC ACB Which 2 ... proportions , is commonly ufed by Aftronomers in determining the elongation and parallaxes of the planets ( being beft ...
Side 12
... proportion AB ( aB ) : fin . C :: BC : fin . A ( or of CaB , ) may , it is evident , be either the acute angle A , or the obtufe one CaB ( which is its fupplement ) , the fines of both being exactly the fame . Having laid down the ...
... proportion AB ( aB ) : fin . C :: BC : fin . A ( or of CaB , ) may , it is evident , be either the acute angle A , or the obtufe one CaB ( which is its fupplement ) , the fines of both being exactly the fame . Having laid down the ...
Side 14
... their difference . But , because of the fimilar triangles OCF , Omn and Dʊm , It will be SOC : Om :: CF : mn } OC : Dm :: FO : Dv2 E. D. COROL- COROLLARY I. Because of the foregoing proportions , we have 14 Conftruction of the Table.
... their difference . But , because of the fimilar triangles OCF , Omn and Dʊm , It will be SOC : Om :: CF : mn } OC : Dm :: FO : Dv2 E. D. COROL- COROLLARY I. Because of the foregoing proportions , we have 14 Conftruction of the Table.
Side 15
... proportions , we have DG + BE OmxCF mn = * > and Dv 2 OC ( DGBE ) Dmx FO 20m x CF ; and therefore DG + BE = OC OC 2Dmx FO and DG BE = OC COROLLARY II . Hence , if the mean arch AC be supposed that of 60 ° ; then OF being the co - fine ...
... proportions , we have DG + BE OmxCF mn = * > and Dv 2 OC ( DGBE ) Dmx FO 20m x CF ; and therefore DG + BE = OC OC 2Dmx FO and DG BE = OC COROLLARY II . Hence , if the mean arch AC be supposed that of 60 ° ; then OF being the co - fine ...
Side 16
... proportion . Thus , if the fine of 1 ' be required , it will be , 15 ' : 1 ' :: , 004363312 : , 000290888 , the fine of the arch of one minute , nearly . But if you would have the fine of 1 ' more ex- actly determined ( from which the ...
... proportion . Thus , if the fine of 1 ' be required , it will be , 15 ' : 1 ' :: , 004363312 : , 000290888 , the fine of the arch of one minute , nearly . But if you would have the fine of 1 ' more ex- actly determined ( from which the ...
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Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Vanlige uttrykk og setninger
4th rem AC by Theor AC-BC AD² adjacent angles AE² alſo known arch baſe becauſe bifecting cafe chord circle co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY defcribed diameter dius E. D. PROP equal to half excefs exceſs faid fame fecant fecond feries fhall fides AC fince fines firft firſt fpherical triangle ABC fquare fubtracted fupplement fuppofed garithms gent of half given gles great-circles half the bafe half the difference half the fum half the vertical Hence hyperbolic logarithm hypothenufe interfect itſelf laft leffer leg BC likewife moreover pendicular perpendicular plane triangle ABC progreffion propofed proportion radius refpectively right-angled Spherical triangle right-line ſhall ſphere ſpherical tang tangent of half THEOREM thofe thoſe Trigonometry verfed vertical angle whence whofe