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

### Inni boken

Resultat 1-5 av 5

Side 4

Any part AB of the periphery of the circle is called an

measure of the angle ACB at the center , which it fubtends . E Nore , The degrees

, minutes , seconds , & c . conéciseid in ary

Any part AB of the periphery of the circle is called an

**arch**, and is said to be themeasure of the angle ACB at the center , which it fubtends . E Nore , The degrees

, minutes , seconds , & c . conéciseid in ary

**arch**, er angle , are wrote in this ... Side 5

The co - fine of an

and fine ; and is equal to the line of the complement of that

co - fine of the

The co - fine of an

**arch**is the part of the diameter intercepted between the centerand fine ; and is equal to the line of the complement of that

**arch**. Thas CF is theco - fine of the

**arch**AB , and is equal to BI , the fine of its complement HB . 9. Side 16

To find the fine of a very small

181. of ... is expressed by , 00818121 ( radius being unity ) ; therefore , as the

chords of very small

vid .

To find the fine of a very small

**arch**; suppose that of 15 ' LE U It is found , in p .181. of ... is expressed by , 00818121 ( radius being unity ) ; therefore , as the

chords of very small

**arches**are to each other nearly as the**arches**themselves (vid .

Side 54

From which it appears , that the square of the fine of balf any

equal to a rectangle under half the radius and the versed fine of the whole ; and

that the square of its co - line is equal to a reEtangle under half the radius and the

...

From which it appears , that the square of the fine of balf any

**arch**, or angle , isequal to a rectangle under half the radius and the versed fine of the whole ; and

that the square of its co - line is equal to a reEtangle under half the radius and the

...

Side 56

COROLLARY II . fine = Hence , the line of the double of either

they are equal ) will be = and its coR C ' - SP : whence it appears , that the fine of

R the double of any

COROLLARY II . fine = Hence , the line of the double of either

**arch**2CS ( whenthey are equal ) will be = and its coR C ' - SP : whence it appears , that the fine of

R the double of any

**arch**, is equal to twice the rečtangle of the fine and co - fine ...### 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