A Treatise on Plane and Spherical TrigonometryJ.B. Lippincott & Company, 1863 - 256 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
applied B+AB becomes C+AC C₁ coefficients computation constant cos A sin cos b cos cos² cos³ cosb cosc cosec cosm cot A cot Csin deduce denote differential divided employed equal equations EXAMPLE expressed factors formulæ geometry gives hypotenuse imaginary increments integer less than 90 log cot logarithms multiple angle Napier's Rules obtain perp perpendicular plane triangle polar triangle preceding article quadrant quotient radius reduced right angle right triangles second member simple angle sin b sin sin c cos sin x sin² sin³ sine sine and cosine solution solve the triangle spherical triangle SPHERICAL TRIGONOMETRY Substituting the values tables tan² tan³ tangent theorem Trig trigonometric functions whence zero Δα
Δημοφιλή αποσπάσματα
Σελίδα 151 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Σελίδα 169 - The sine of any middle part is equal to the product of the tangents of the Adjacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the opposite parts.
Σελίδα 2 - Union, in the Clerk's Office of the District Court of the Eastern District of Pennsylvania. PREFACE.
Σελίδα 58 - In any plane triangle, the sum of any two sides is to their difference, as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 229 - THEOREM. The surface of a spherical triangle is measured by the excess of the sum of its three angles above two right angles, multiplied by the tri-rectangular triangle.
Σελίδα 64 - As the sine of the angle opposite the given side, is to the sine of the angle opposite the required side ; so is the given side to the required side.
Σελίδα 15 - The sum of the two acute angles of a right triangle is equal to one right angle, or 90°.
Σελίδα 65 - The side opposite the given angle is to the side opposite the required angle as the sine of the given angle is to the Bine of the required angle.
Σελίδα 181 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Σελίδα 150 - 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...