## Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |

### Inni boken

Resultat 1-5 av 5

Side 38

... c . as to perform the same things by addition and subtraction , only , as

do by multiplication and divifion : I shall here , for the sake of the young beginner

( for whom this small tract is chiefly intended ) add a few pages upon this subject .

... c . as to perform the same things by addition and subtraction , only , as

**these**do by multiplication and divifion : I shall here , for the sake of the young beginner

( for whom this small tract is chiefly intended ) add a few pages upon this subject .

Side 39

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 geo : metrical progression , whichbeing 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 48

... and c = 100 ; and then , by the first term of the series only , the log . of 99 will be

found true to 14 places ; whence that of 11 ( log . 99 - log . 9 ) is also known . But

But notwithstanding all

... and c = 100 ; and then , by the first term of the series only , the log . of 99 will be

found true to 14 places ; whence that of 11 ( log . 99 - log . 9 ) is also known . But

But notwithstanding all

**these**artifices and compendiums , a method The Nature ... Side 55

Now , by adding the two first of

( DG OC ) = Om x CF + Dm X OF ; whence DG is known . Moreover , by taking the

latter from the former , we get mn – Dv x OC ( BE XOC ) = Om RCF Dm X OF ...

Now , by adding the two first of

**these**equations together , we have mn + Du ~ OC( DG OC ) = Om x CF + Dm X OF ; whence DG is known . Moreover , by taking the

latter from the former , we get mn – Dv x OC ( BE XOC ) = Om RCF Dm X OF ...

Side 64

But DC = OC + OD ' + 2OD X OF ( by 11. 2. ) = OA ' + OD ' + 2OD DF - OD = OA '

— OD : + 2OD X DF = AD + 2OD X DF ( by 7. 2. ) ; whence , by taking away AD '

from the first and last of

But DC = OC + OD ' + 2OD X OF ( by 11. 2. ) = OA ' + OD ' + 2OD DF - OD = OA '

— OD : + 2OD X DF = AD + 2OD X DF ( by 7. 2. ) ; whence , by taking away AD '

from the first and last of

**these**equal quantities , we have DC ' - AD = 2OD RDF ...### Hva folk mener - Skriv en omtale

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### Andre utgaver - Vis alle

Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |

Trigonometry: Plane and Spherical; with the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |

Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |

### 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 determine diameter difference divided drawn equal equal to half evident exceſs extremes fide AC fine fines firſt follows given gives gles greater half the ſum half their difference Hence hyperbolic logarithm hypothenuſe laſt logarithm manifeft meeting method minute moreover Note oppoſite parallel perpendicular plane triangle ABC preceding progreſſion PROP proportion propoſed radius rectangle reſpectively right-angled ſame ſecant ſee ſeries ſhall ſides ſince ſine ſpherical Spherical triangle ABC ſubtracted ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence