## Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |

### Inni boken

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

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 tobe ...

Side 5

The co - line of an arch is the part of the diameter intercepted between the center

and sine ; and is

co - line of the arch AB , and is

The co - line of an arch is the part of the diameter intercepted between the center

and 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 39

Plane and Spherical; with the Construction and Application of Logarithms. By

Thomas Simpson, F.R.S. Thomas Simpson. 3. That , the product of the index of

any term by a given number ( n ) is

exponent is ...

Plane and Spherical; with the Construction and Application of Logarithms. By

Thomas Simpson, F.R.S. Thomas Simpson. 3. That , the product of the index of

any term by a given number ( n ) is

**equal**to the index of the power phoseexponent is ...

Side 56

1 Hence , the fine of the double of either arch CS ( when they are

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

arch , is

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 ... Side 67

Plane and Spherical; with the Construction and Application of Logarithms. By

Thomas Simpson, F.R.S. Thomas Simpson. ( by Theor . 1. ) OD ( 1a ) : CD ( 6 ) ::

radius : sine DOC ; whose hali is

Plane and Spherical; with the Construction and Application of Logarithms. By

Thomas Simpson, F.R.S. Thomas Simpson. ( by Theor . 1. ) OD ( 1a ) : CD ( 6 ) ::

radius : sine DOC ; whose hali is

**equal**to A , or BDC ( by 10. 3. ) But , as radius ...### Hva folk mener - Skriv en omtale

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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