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 17
2C x sine 3 ' - fine 2 ' = fine 4 . 2C x sine 4 ' - sine 3 ' = line 5 ' . And thus are the
fines of 6,7 ' , 8 ' , & c . fuccessively derived from each other . The fines of every
degree and minute , up to 60 ° , being thus found ; those of above 60 ° will be had
...
2C x sine 3 ' - fine 2 ' = fine 4 . 2C x sine 4 ' - sine 3 ' = line 5 ' . And thus are the
fines of 6,7 ' , 8 ' , & c . fuccessively derived from each other . The fines of every
degree and minute , up to 60 ° , being thus found ; those of above 60 ° will be had
...
Side 27
B For let BC be perpendicular to AD ; s since ? radius : fine D :: fine DC : line BC
by the ? former part of the theorem ; we ... BC . common , the tangents of the
hypothenuses are to each other , inversely , as the co - fines of the adjacent
angles .
B For let BC be perpendicular to AD ; s since ? radius : fine D :: fine DC : line BC
by the ? former part of the theorem ; we ... BC . common , the tangents of the
hypothenuses are to each other , inversely , as the co - fines of the adjacent
angles .
Side 54
then will AD be the fine , and CD the co - fine , of the angle ACD , or ( ACE . But
4AD ? = AE ? ( by Cor . 1. to 6. 2. ) ... of the whole arch , or angle . PROP . II . The
fines and co - fines of two arches being given , to find the fines , and the co ...
then will AD be the fine , and CD the co - fine , of the angle ACD , or ( ACE . But
4AD ? = AE ? ( by Cor . 1. to 6. 2. ) ... of the whole arch , or angle . PROP . II . The
fines and co - fines of two arches being given , to find the fines , and the co ...
Side 56
1 Hence , the fine of the double of either arch CS ( when they are equal ) will be =
and its coR C - SP sine = : whence it ... OG ) ; and On ® OF = OCX On ( { OC x
20n = { OCXOE + OG ) , it follows , that the re tangle of the fines of any two crches
.
1 Hence , the fine of the double of either arch CS ( when they are equal ) will be =
and its coR C - SP sine = : whence it ... OG ) ; and On ® OF = OCX On ( { OC x
20n = { OCXOE + OG ) , it follows , that the re tangle of the fines of any two crches
.
Side 78
COROLLARY 1 : Hence , because IR x V is = the square of the fine of įC ( by Prop
. ... As the rectangle of the lines of the two sides , including the proposed angle ,
is to the rectangle under the fines of half the base plus half the difference of the ...
COROLLARY 1 : Hence , because IR x V is = the square of the fine of įC ( by Prop
. ... As the rectangle of the lines of the two sides , including the proposed angle ,
is to the rectangle under the fines of half the base plus half the difference of 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 |