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 10
AC to the angles che leg BC ( by Theor . I. ) The hyp . The an- As AC : BC :: radius
: 2 AC and gles lin . A ( Théor . 1. ) whose one legBC complement is the angle C.
The hyp . The other Ler the angles be found , 3 AC and leg AB by Case 2. and ...
AC to the angles che leg BC ( by Theor . I. ) The hyp . The an- As AC : BC :: radius
: 2 AC and gles lin . A ( Théor . 1. ) whose one legBC complement is the angle C.
The hyp . The other Ler the angles be found , 3 AC and leg AB by Case 2. and ...
Side 34
AC :: IAC and one fite legfine A : fine BC : ( by the forangle A BC nier part of Theor
. 1. ) The hyp . The adja . As radius : co - iine of A :: 2 AC and one cert leg tang .
AC ; tang . AB ( by the angle A AB latter part of Theor . 1. ) The hyp . The other As
...
AC :: IAC and one fite legfine A : fine BC : ( by the forangle A BC nier part of Theor
. 1. ) The hyp . The adja . As radius : co - iine of A :: 2 AC and one cert leg tang .
AC ; tang . AB ( by the angle A AB latter part of Theor . 1. ) The hyp . The other As
...
Side 35
AC ( by 9 adjacent Theor . 1. ) angle A The other jAs tang . A : tang . BC :: raBC
and the leg AB dius : line AB ( by Theor . 4. ) 10 opposite angle A The adja- As co
- fine BC ' : radius : : BC and the cent angle co - line of A : fine C ( by II opposite С
...
AC ( by 9 adjacent Theor . 1. ) angle A The other jAs tang . A : tang . BC :: raBC
and the leg AB dius : line AB ( by Theor . 4. ) 10 opposite angle A The adja- As co
- fine BC ' : radius : : BC and the cent angle co - line of A : fine C ( by II opposite С
...
Side 36
80 Theor . 1. ) Notes gle A opposite the other This case is ambiguous when BC is
to one of them less than AC ; , since it cannot be determined from the data
whether B be acute or obtuse . Two fides AC , The included Upon AB produced (
if ...
80 Theor . 1. ) Notes gle A opposite the other This case is ambiguous when BC is
to one of them less than AC ; , since it cannot be determined from the data
whether B be acute or obtuse . Two fides AC , The included Upon AB produced (
if ...
Side 37
whence 6 fide AC beBCD is also known ; then ( by Cor . twixt them . to Theor . 3. )
as fine ACD i fiue BCD :: co - fine A : co fine B. Two augles A , Either of the As
rado : co - fue C : : tang . A : ACB and the other fides , co - tang . ACD ( by Theor .
5. ) ...
whence 6 fide AC beBCD is also known ; then ( by Cor . twixt them . to Theor . 3. )
as fine ACD i fiue BCD :: co - fine A : co fine B. Two augles A , Either of the As
rado : co - fue C : : tang . A : ACB and the other fides , co - tang . ACD ( by Theor .
5. ) ...
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Vanlige uttrykk og setninger
added alſo appears arch balf baſe becauſe called caſe chord circle co-f co-fine AC co-tang common complement conſequently COROL COROLLARY demonſtrated determine diameter difference divided drawn Edition equal equal to half evident exceſs extremes fame fides fine fines firſt follows given gives gles great-circles greater half the difference half the ſum Hence hyperbolic logarithm hypothenuſe known laſt logarithm manifeſt meeting method minute Moreover natural Note oppoſite parallel perpendicular plane triangle ABC preceding PROP proportion propoſed radius reſpectively ſame ſecant ſee ſeries ſhall ſides ſince ſine ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence
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 |