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 27
It follows , moreover , that , in right - angled spherical triangles ABC , DBC ,
having one leg BC . common , the tangents of the hypothenuses are to each ...
fine of one leg ) so is the co - fine of the other leg to the co - fine of the
hypothenuse .
It follows , moreover , that , in right - angled spherical triangles ABC , DBC ,
having one leg BC . common , the tangents of the hypothenuses are to each ...
fine of one leg ) so is the co - fine of the other leg to the co - fine of the
hypothenuse .
Side 51
First , in the rightangled plane triangle ABC , let there be given the hypothenuse
AC = 17910 feet , and the angle A = 35 ° 20 ' ; to find the perpendicular BC and
the base AB . A Here , because radius : line 35 ° 20 ' :: 17910 : BC ( by Theor .
First , in the rightangled plane triangle ABC , let there be given the hypothenuse
AC = 17910 feet , and the angle A = 35 ° 20 ' ; to find the perpendicular BC and
the base AB . A Here , because radius : line 35 ° 20 ' :: 17910 : BC ( by Theor .
Side 71
The hypothenuse AC , and the Jum , or difference , of the legs AB , BC , of a right
- angled spherical triengle ABC , being given , to determine the triangle . Let AE
be the fum , and AF the difference of the two legs . Because , radius : CO - s .
The hypothenuse AC , and the Jum , or difference , of the legs AB , BC , of a right
- angled spherical triengle ABC , being given , to determine the triangle . Let AE
be the fum , and AF the difference of the two legs . Because , radius : CO - s .
Side 72
By Thomas Simpson, F.R.S. Thomas Simpson. PROP . XXI . One leg BC and the
fun , or difference , of the bypothenuse and the other leg AB being given , to
determine the hypothenuse ( see the last figure . ) BC : : co - tang . : tàng Since
rad .
By Thomas Simpson, F.R.S. Thomas Simpson. PROP . XXI . One leg BC and the
fun , or difference , of the bypothenuse and the other leg AB being given , to
determine the hypothenuse ( see the last figure . ) BC : : co - tang . : tàng Since
rad .
Side 73
Hence it appears , that , As the co - tangent of half the given angle , is to its
tangent ; so is the line of the sum of the hypothenuse and adjacent leg , to the fine
of their difference . B PROP . XXIII . The kypothenuse AG and the furr , or
difference ...
Hence it appears , that , As the co - tangent of half the given angle , is to its
tangent ; so is the line of the sum of the hypothenuse and adjacent leg , to the fine
of their difference . B PROP . XXIII . The kypothenuse AG and the furr , or
difference ...
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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 |