## The elements of plane trigonometry, Volum 1 |

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The Elements of Plane Trigonometry: Together with the Construction and Use ... John Charles Snowball Uten tilgangsbegrensning - 1833 |

### Vanlige uttrykk og setninger

AC AC AFCG angle contained base bisected calculated centre coefficient cos0 cosB cosC cosec cosines decimal point determined Diff equal equation becomes errors Eucl Euclid expression factors figures find the values formula given number goniometric functions greater Hence horizontal increment inscribed integer intersect Join last Article less Lsin magnitude mantissa measured Napier's Rules nearly number of seconds observed angles perpendicular plane angles plane triangle planes AOB polar triangle pole polygon positive proved radius regular polygon Regular Polyhedron right angles secants second member semicircle shew shewn Similarly sin0 sinB sines sines and cosines small angle solid angle solution sphere spherical excess spherical polygon spherical triangle SPHERICAL TRIGONOMETRY subtraction tables of logarithms tabular logarithmic tan0 tangents Theodolite Theorem triangle ABC triangle whose sides versin Wherefore

### Populære avsnitt

Side 141 - Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number.

Side 10 - Any two sides of a spherical triangle are together greater than the third, and the sum of the three sides is less than the circumference of a great circle.

Side 56 - Mathematics which treats of the solution of plane triangles. In every plane triangle there are six parts : three sides and three angles. When three of these parts are given, one being a side, the remaining parts may be found by computation. The operation of finding the unknown parts is called the solution of the triangle.

Side 57 - ... the three interior angles of a triangle are together equal to two right angles.

Side 12 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...

Side 143 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Side 27 - For example, let it be required to prove the formula sin ( A - B) = sin A. cos В - cos A. sin В from the annexed figure, where ВАC' = A, and C'AD — В ; each angle being greater than a right angle.

Side 5 - ... stretched taut from one point to the other. The string will not lie on the parallel, but will evidently be in a plane which passes through the centre of the sphere. If the two points be on a meridian, the stretched string will lie on the meridian. By angular distance between two points on a sphere is meant the angle subtended at the centre of the sphere by the arc joining the given points. Thus in Fig. 4 the angle NOA is the angular distance of A from N.

Side 6 - If a solid angle be contained by three plane angles, any two of them are together greater than the third. Let the solid angle at A be contained by the three plane angles BAC, CAD, DAB : any two of them shall be together greater than the third.

Side 200 - Three circles whose radii are a, b, c touch each other externally ; prove that the tangents at the points of contact meet in a point whose distance from any one of them is (aba Nj a+b + cj 12.