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

### Inni boken

Resultat 1-5 av 5

Side 8

C. - B - The Solutions of the

Solution The Hyp|One Leg|As Radius is to the Sine of AC and | BC |A, so is the

Hyp. AC to the Angles the Leg BC (by Theor. I.) The Hyp|The An-1As A C : B C ...

C. - B - The Solutions of the

**Cases**of right-angled plane?riangles. Given | SoughtSolution The Hyp|One Leg|As Radius is to the Sine of AC and | BC |A, so is the

Hyp. AC to the Angles the Leg BC (by Theor. I.) The Hyp|The An-1As A C : B C ...

Side 9

B D G 44 C The Solution of the

Two Sides AB, BC and Angles A an Ang. Cop. and ABC to one of 'em Two Sides

an opp. Angl C Angle A AB and the Sides The Angles and one Side the other

Two ...

B D G 44 C The Solution of the

**Cases**of oblique plane Triangles. -§ I Given ABTwo Sides AB, BC and Angles A an Ang. Cop. and ABC to one of 'em Two Sides

an opp. Angl C Angle A AB and the Sides The Angles and one Side the other

Two ...

Side 34

Note, This

determined from the Data whether B be acute or obtuse. Two Sides AC, BC and

an Angle A opposite H to one of them The included Angle ACB Upon A B

produced (if ...

Note, This

**Case**is ambiguous when B C is less than A C ; fince it cannot bedetermined from the Data whether B be acute or obtuse. Two Sides AC, BC and

an Angle A opposite H to one of them The included Angle ACB Upon A B

produced (if ...

Side 66

With the Construction and Application of Logarithms Thomas Simpson. : BF (BE)

the Value of x in the first

Tang. F) :: BF (BE) : AB (by Theor. 2.); and BE : A B :: A B : B D (by 17.3. and 3. 4.);

...

With the Construction and Application of Logarithms Thomas Simpson. : BF (BE)

the Value of x in the first

**Case**, where x” + ax = bo. Again, Radius : Co-tang. BAF (Tang. F) :: BF (BE) : AB (by Theor. 2.); and BE : A B :: A B : B D (by 17.3. and 3. 4.);

...

Side 75

2.); therefore it will be Co-s. A B x R = Co-s. A F x R — S. A C x S. B C x V R––.

and consequently W = R*x Co-s. AF – Co-s. AB - Y - - . Which is th S. AC x S. BC

ich is the first

2.); therefore it will be Co-s. A B x R = Co-s. A F x R — S. A C x S. B C x V R––.

and consequently W = R*x Co-s. AF – Co-s. AB - Y - - . Which is th S. AC x S. BC

ich is the first

**Case**. Again, because S. AC x S. BC is = + R x Co-s: AF—Co-s.### Hva folk mener - Skriv en omtale

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

Trigonometry, Plane and Spherical;: With the Construction and ..., Volum 2 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...