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 3
In order to which , it is not only requisite , that the peripheries of circles , but also
certain right - lines in , and about , the circle , be supposed divided into fome
assigned number of equal parts . 2. The periphery of every circle is supposed to
be ...
In order to which , it is not only requisite , that the peripheries of circles , but also
certain right - lines in , and about , the circle , be supposed divided into fome
assigned number of equal parts . 2. The periphery of every circle is supposed to
be ...
Side 15
Because of the foregoing proportions , we have DG + BE Om X CF DG - BEN OC
and Du 2 DmX FO 20m X CF and therefore DG + BES OC OC . 2DmX FO . and
DGBEE OC . COROLLARY II . Hence , if ' the mean arch AC ' be supposed that of
...
Because of the foregoing proportions , we have DG + BE Om X CF DG - BEN OC
and Du 2 DmX FO 20m X CF and therefore DG + BES OC OC . 2DmX FO . and
DGBEE OC . COROLLARY II . Hence , if ' the mean arch AC ' be supposed that of
...
Side 39
These are the properties of the indices of a geometrical progression ; which
being universally true , let the common ratio be now supposed indefinitely near to
that of equality , or the excess of a above unity , indefinitely little ; so that some
term ...
These are the properties of the indices of a geometrical progression ; which
being universally true , let the common ratio be now supposed indefinitely near to
that of equality , or the excess of a above unity , indefinitely little ; so that some
term ...
Side 71
COROLLARY . + Hence , if the two legs be supposed equal to each other ( or the
given difference = o ) , then will the co - fine of the double of each , be equal to
twice the co - line of the hypothenuse minus the radius , 1 F 4 PROP . PROP . XXI
.
COROLLARY . + Hence , if the two legs be supposed equal to each other ( or the
given difference = o ) , then will the co - fine of the double of each , be equal to
twice the co - line of the hypothenuse minus the radius , 1 F 4 PROP . PROP . XXI
.
Side 73
... 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 . Hence , if the angles be supposed equal
Spherical ...
... 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 . Hence , if the angles be supposed equal
Spherical ...
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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 |