Elements of Plane and Spherical TrigonometryJ.B. Lippincott, 1890 - 159 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Elements of Plane and Spherical Trigonometry Edwin Schofield Crawley Δεν υπάρχει διαθέσιμη προεπισκόπηση - 1907 |
Elements of Plane and Spherical Trigonometry: A Text-Book for Colleges and ... Edwin Schofield Crawley Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
1+tan A'P A'B ACP₁ angle ACP angle less angle or arc Atan B₁ C₁ called check formula colog cos A sin cos B cos cos² cosec cosine cot² CP CP CP₁ derived Determine the functions divided EXAMPLES feet Find the lengths formulæ fourth quadrant Hence hypothenuse inches less than 90 log a log log cos log cot log sin log tan a+b logarithms Napier's Analogies negative opposite side perpendicular plane polar triangle positive Prove the following right angle right triangle sec² second quadrant signs sin A cos sin B sin sin x sin² sin³ sine SOLUTION OF RIGHT Solve the following Solve the triangle spherical right triangle spherical triangle student Substituting Subtracting tables give tan² tangent third quadrant trigonometric functions values
Δημοφιλή αποσπάσματα
Σελίδα 66 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Σελίδα 93 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 96 - 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 98 - A. {cos a = cos b cos c + sin b sin c cos A. cos b = cos a cos c + sin a sin c cos B.
Σελίδα 95 - 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...
Σελίδα 66 - 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 53 - Div1ding each term of the fraction by cos x cos y, sin x cos у . cos x sin у cos x...
Σελίδα 3 - ... with clearness that portion of the subject of Trigonometry which is generally given in a college course. The first part of the subject is presented in much detail, each point being emphasized as far as possible by means of numerous examples and illustrations.
Σελίδα 136 - THEOREM. The area, of a spherical triangle is equal to its spherical excess multiplied by a tri.rectangular triangle.
Σελίδα 18 - The cosine of an angle is the ratio of the adjacent side to the...