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 9
Therefore in this case our proportion will become , АС АСь Radius : tang . ( =
ABC - 45 ° ) :: ABC + ACB ABC - ACB tangWhich gives the following Theorem ,
for finding the angles opposite to any two proposed sides , the in- . cluded angle ,
and ...
Therefore in this case our proportion will become , АС АСь Radius : tang . ( =
ABC - 45 ° ) :: ABC + ACB ABC - ACB tangWhich gives the following Theorem ,
for finding the angles opposite to any two proposed sides , the in- . cluded angle ,
and ...
Side 12
... 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
perpendicular BD , and therefore the angle found by the proportion AB ( aB ) : fin .
... 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
perpendicular BD , and therefore the angle found by the proportion AB ( aB ) : fin .
Side 16
From whence the fine of any inferior arch may be found by bare proportion . Thus
, if the sine of s ' be required , it will be , 15 " : 11 : : , 004363312 ; , CC0290888 ,
the line of the arch of one minute , nearly . But if you would have the fine of more
...
From whence the fine of any inferior arch may be found by bare proportion . Thus
, if the sine of s ' be required , it will be , 15 " : 11 : : , 004363312 ; , CC0290888 ,
the line of the arch of one minute , nearly . But if you would have the fine of more
...
Side 57
+ BA X AC : therefore , the three first terms of the proportion being known , the
fourth NE will likewise be known . 2. E. I. COROLLARY . Hence , if radius be
supposed unity , and the tangents of two arches be denoted by T and t , it follows
, that ...
+ BA X AC : therefore , the three first terms of the proportion being known , the
fourth NE will likewise be known . 2. E. I. COROLLARY . Hence , if radius be
supposed unity , and the tangents of two arches be denoted by T and t , it follows
, that ...
Side 70
I. ( ACD ) : radius ; therefore , by compounding this proportion with the laft but one
, we shall have , El X EF : EI XCG :: tang . ACD x radius : tang . Q x radius ( by 11.
4. ) and confequently EF : 2CG ( AC + BC ) :: tang . ACD : tang . Q : Whence the ...
I. ( ACD ) : radius ; therefore , by compounding this proportion with the laft but one
, we shall have , El X EF : EI XCG :: tang . ACD x radius : tang . Q x radius ( by 11.
4. ) and confequently EF : 2CG ( AC + BC ) :: tang . ACD : tang . Q : Whence the ...
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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 |