## 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 4

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

measure of the angle ACB at - the center , which it subtends . f Ng Note , The

degrees , minutes , seconds , & c . contained in any

this ...

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

**arch**, and is faid to be themeasure of the angle ACB at - the center , which it subtends . f Ng Note , The

degrees , minutes , seconds , & c . contained in any

**arch**, or angle , are wrote inthis ...

Side 5

The co - line of an

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

co - line of the

The co - line of an

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

**arch**. Thus CF is theco - line 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

periphery , is expreffed by , 00818121 ( radius being unity ) ; therefore , as the

chords of very finall

vid . p .

To find the fine of a very small

**arch**; JURPOSE that of 15 ' . ... of the semi -periphery , is expreffed by , 00818121 ( radius being unity ) ; therefore , as the

chords of very finall

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

Side 54

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

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

that the square of its co - fine is equal to a re & tengle under half the radius and

the ...

From which it appears , that the square of the fine of half 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 - fine is equal to a re & tengle under half the radius and

the ...

Side 56

1 Hence , the fine of the double of either

and its coR C - SP sine = : whence it appears , that the fine of R the double of any

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 appears , that the fine of R the double of any

**arch**, is equal to twice the rečtangle of the fine and co - fine of the single**arch**...### Hva folk mener - Skriv en omtale

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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