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

### Inni boken

Resultat 1-5 av 7

Side 1

The Periphery of every Circle is supposed to be divided into 360 equal Parts ,

called Degrees ; and each Degree into 60 equal Parts , called

The Periphery of every Circle is supposed to be divided into 360 equal Parts ,

called Degrees ; and each Degree into 60 equal Parts , called

**Minutes**; and each**Minute**into 6o equal Parts , called Seconds , or second**Minutes**, & c . B 3. Side 3

... are the Cotangent and Co - fecant of AB . 12. A Trigonometrical - Canon is a

Table exhibiting the Length of the Sine , Tangent , and Secant , to every Degree

and

...

... are the Cotangent and Co - fecant of AB . 12. A Trigonometrical - Canon is a

Table exhibiting the Length of the Sine , Tangent , and Secant , to every Degree

and

**Minute**of the Quadrant , with respect to the Radius ; which is supposed Unity...

Side 14

Thus , if the Sine of s ' be required , it will be , 15 ' : 1 ' :: , 004363312 :

2000290888 , the Sine of the Arch of one

the Sine of i ' more exactly determined ( from which the Sines of other Arches may

be ...

Thus , if the Sine of s ' be required , it will be , 15 ' : 1 ' :: , 004363312 :

2000290888 , the Sine of the Arch of one

**Minute**, nearly . But if you would havethe Sine of i ' more exactly determined ( from which the Sines of other Arches may

be ...

Side 15

The Sines of every Degree and

above 60 ° will be had by Addition only ( from Theor . 2. p . 13. ) then , the Sines

being all known , the Tangents and Secants will likewise become known , by

Prop .

The Sines of every Degree and

**Minute**, up to 60 ' , being thus found ; those ofabove 60 ° will be had by Addition only ( from Theor . 2. p . 13. ) then , the Sines

being all known , the Tangents and Secants will likewise become known , by

Prop .

Side 16

... thus derived , the next thing is to find , by Help of these , the Sines of all the

intermediate Arches , to every single

regarded ) , may be effected by barely taking the proportional Parts of the

Differences .

... thus derived , the next thing is to find , by Help of these , the Sines of all the

intermediate Arches , to every single

**Minute**. ... than Degrees and**Minutes**isregarded ) , may be effected by barely taking the proportional Parts of the

Differences .

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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 - 1765 |

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

### Vanlige uttrykk og setninger

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### Populære avsnitt

Side 1 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.

Side 3 - Canon, is a table showing the length of the sine, tangent, and secant, to every degree and minute of the quadrant, with respect to the radius, which is expressed by unity or 1, with any number of ciphers.

Side 6 - In every plane triangle, it will be, as the sum of any two sides is to their difference...

Side 41 - The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers.

Side 13 - If the sine of the mean of three equidifferent arcs' dius being unity) be multiplied into twice the cosine of the common difference, and the sine of either extreme be deducted from the product, the remainder will be the sine of the other extreme. (B.) The sine of any arc above 60°, is equal to the sine of another arc as much below 60°, together with the sine of its excess above 60°. Remark. From this latter proposition, the sines below 60° being known, those of arcs above 60° are determinable...

Side 31 - ... is the tangent of half the vertical angle to the tangent of the angle which the perpendicular CD makes with the line CF, bisecting the vertical angle.

Side 73 - BD, is to their Difference ; fo is the Tangent of half the Sum of the Angles BDC and BCD, to the Tangent of half their Difference.

Side 28 - As the sum of the sines of two unequal arches is to their difference, so is the tangent of half the sum of those arches to the tangent of half their difference : and as the sum...

Side 68 - In any right lined triangle, having two unequal sides ; as the less of those sides is to the greater, so is radius to the tangent of an angle ; and as radius is to the tangent of the excess of...