Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Resultat 1-5 av 5
Side 15
COROLLARY II . Hence , if ' the mean arch AC ' be supposed that of 60 ° ; then Of
being the co - fine of 60 ° , = ' sine 30 ° = 1 chord of 60 " = TOC , it is manifest that
DG - BE will , in this case , be barely = Dm ; and consequently DG = Dm + BE .
COROLLARY II . Hence , if ' the mean arch AC ' be supposed that of 60 ° ; then Of
being the co - fine of 60 ° , = ' sine 30 ° = 1 chord of 60 " = TOC , it is manifest that
DG - BE will , in this case , be barely = Dm ; and consequently DG = Dm + BE .
Side 28
E. D.J 1 COROLLARY : Hence , if two rightangled spherical triangles ABC , CBD
have the same perpendicular DBC , the co - fines of their hypothenuses will be to
each other , directly , as the co - fines of their bases . For S rad : co - fin . BC :: co ...
E. D.J 1 COROLLARY : Hence , if two rightangled spherical triangles ABC , CBD
have the same perpendicular DBC , the co - fines of their hypothenuses will be to
each other , directly , as the co - fines of their bases . For S rad : co - fin . BC :: co ...
Side 29
E. D. COROLLARY . Hence , in right - angled spherical triangles ABC , CBD ,
having the same perpendicular BC ( see the last figure ) , the co - fines of the
angles at the base will be to each other , directly , as the fines of the vertical
angles : For ...
E. D. COROLLARY . Hence , in right - angled spherical triangles ABC , CBD ,
having the same perpendicular BC ( see the last figure ) , the co - fines of the
angles at the base will be to each other , directly , as the fines of the vertical
angles : For ...
Side 73
Whence it appears , that , As the co - tangent of half the bypothenuse , is to its
tangent ; so is the co - line of the difference of the angles at the hypothenuse , to
the fine of the excess of their sum above a right - angle . COROL1 COROLLARY .
Whence it appears , that , As the co - tangent of half the bypothenuse , is to its
tangent ; so is the co - line of the difference of the angles at the hypothenuse , to
the fine of the excess of their sum above a right - angle . COROL1 COROLLARY .
Side 78
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. COROLLARY 1 : Hence , because IR
x V is = the square of the fine of įC ( by Prop . 1. ) it follows that iq .
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. COROLLARY 1 : Hence , because IR
x V is = the square of the fine of įC ( by Prop . 1. ) it follows that iq .
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Vanlige uttrykk og setninger
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Bibliografisk informasjon
| Tittel | Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. Eighteenth century collections online |
| Forfatter | Thomas Simpson |
| Utgave | 5 |
| Utgiver | F. Wingrave, successor to Mr. Nourse, 1799 |
| Original fra | The British Library |
| Digitalisert | 30. sep 2016 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |