The Elements of Trigonometry: Containing, the Properties, Relations, and Calculations of Sines, Tangents, Secants, &c. The Doctrine of the Sphere, and the Principles of Plain and Spherical Trigonometry. All Plainly and Clearly DemonstratedW. Innys, 1749 - 186 pages |
Autres éditions - Tout afficher
The Elements of Trigonometry: Containing the Properties, Relations, and ... William Emerson Affichage du livre entier - 1764 |
A The Elements of Trigonometry: Containing, the Properties, Relations, and ... William Emerson Aucun aperçu disponible - 2018 |
The Elements of Trigonometry: Containing the Properties, Relations, and ... William Emerson Aucun aperçu disponible - 2017 |
Expressions et termes fréquents
Algebraically alſo Angle F Bafe Baſe becauſe Cafe Circle Circumference Cofecant confequently Cord Cotan Diff different Affection divided drawn Equation fame Affection fecond fimilar fince firft fubtracted given greater half the included half the Sum half their Difference Hypothenufe included Angle included Side interfect laft lefs let fall Likewife Logarithmically mean Arch multiply'd Number of equal oblique Triangles obtufe odd Number oppofite Angle oppofite Side paffes thro Perpendicular falls Pole Prop Propofitions Quadrant Radius Square Rectangle refolved refpectively right angled Triangles SCHOLIUM Secant Side A B Side B F Sine and Cofine Sine Square Sphere spherical Triangle Square of half Supplement Tangent thefe theſe verfed Sine vertical Angle whence whofe XXIX
Fréquemment cités
Page 143 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B sin C...
Page 115 - POLE OF A CIRCLE is a point, on the surface of the sphere, equally distant from all the points of the circumference of the circle.
Page 133 - ... 3. The sum of any two sides is greater than the third side ; and their difference is less than the third side.
Page 170 - Perpendicular, let it fall from the End of a given Side, and oppofite to a given...
Page 92 - Perpendicular let fall from the End of a given Side and oppofite to a given Angle.
Page 119 - An angle made by any two great circles of the sphere is equal to the angle of inclination of the planes of these circles.
Page 166 - Product of 180°; and Two Less than* the number of Angles of the spherical polygon, to its Area. For, if the polygon be supposed to be divided into as many triangles as it has sides, by great circles drawn from all the angles through any point within it, forming at that point the vertical angles of all the triangles. Then, by th. 5, it will be as 360° : ^s : : A+B + c— 180° : its area.
Page 92 - Triangles, the Square of the Hypothenufe is equal to the Sum of the Squares of the oth-er two Sides ; confequently the Difference of the Squares of the Hypothenufe, and either Side, is the Sq.
Page 130 - Sides is greater, equal, or lefs than a Quadrant; the Angle at the Bafe is accordingly greater, equal, or lefs than a right Angle.