Plane and Spherical Trigonometry |
From inside the book
Results 1-5 of 91
Page v
... triangles comes in its natural and logical order and is not forced to the first pages of the book . ( 4 ) Considerable use is made of the line representation of the trigonometric functions . This makes the proof of certain theorems ...
... triangles comes in its natural and logical order and is not forced to the first pages of the book . ( 4 ) Considerable use is made of the line representation of the trigonometric functions . This makes the proof of certain theorems ...
Page vi
... triangles . Much stress is laid upon the principal values of anti - trigonometric functions as used later in the more advanced subjects of mathematics . ( 7 ) A limited use is made of the so - called " laboratory method " to impress ...
... triangles . Much stress is laid upon the principal values of anti - trigonometric functions as used later in the more advanced subjects of mathematics . ( 7 ) A limited use is made of the so - called " laboratory method " to impress ...
Page vii
... triangles . 22 19. Relations between the functions of complementary angles .. 23 20. Given the function of an angle ... triangle . . . . 2225 24 27 29 29 24. Transformation of trigonometric expressions so as to contain but one function ...
... triangles . 22 19. Relations between the functions of complementary angles .. 23 20. Given the function of an angle ... triangle . . . . 2225 24 27 29 29 24. Transformation of trigonometric expressions so as to contain but one function ...
Page viii
... triangle .. 30. The graphical solution . 31. The solution of right triangles by computation . 32. Steps in the solution .. 33. Solution of right triangles by natural functions . 34. Remark on logarithms .. 35. Solution of right ...
... triangle .. 30. The graphical solution . 31. The solution of right triangles by computation . 32. Steps in the solution .. 33. Solution of right triangles by natural functions . 34. Remark on logarithms .. 35. Solution of right ...
Page ix
... triangle when one side and two angles are given .... 103 79. Case II . The solution of a triangle when two sides and an angle opposite one of them are given . 105 80. Case III . The solution of a triangle when two sides and the included ...
... triangle when one side and two angles are given .... 103 79. Case II . The solution of a triangle when two sides and an angle opposite one of them are given . 105 80. Case III . The solution of a triangle when two sides and the included ...
Contents
150 | |
151 | |
152 | |
153 | |
154 | |
155 | |
156 | |
157 | |
77 | |
83 | |
89 | |
103 | |
109 | |
127 | |
134 | |
135 | |
136 | |
138 | |
139 | |
141 | |
143 | |
145 | |
146 | |
148 | |
149 | |
159 | |
160 | |
161 | |
162 | |
163 | |
164 | |
165 | |
166 | |
167 | |
168 | |
169 | |
170 | |
171 | |
172 | |
178 | |
Other editions - View all
Common terms and phrases
9 Prop abscissa acute angle amplitude cd log cot cd log tan circle co-a co-c co-ẞ colog cologarithm complex number Computation Construct coördinates cos¹ cos² cosh cosine cot cd log cotangent decimal distance Draw equal equation Example EXERCISES Express Find the value formulas Given horizontal hyperbolic functions hypotenuse imaginary unit initial side intersection log cot cd log cot log log tan cd log tan log logarithms M₁P₁ Mant mantissa measured miles modulus multiples Napier's rules negative nth root opposite ordinate P₁ plane polar triangle positive Prove radians radius right angle right spherical triangle right triangle sec² segment sin a sin sin ẞ sin² sin³ sine sinh Solution Solve sphere SPHERICAL TRIGONOMETRY Subtracting tabular difference tan-¹ tan² tangent terminal side trigonometric functions vector απ
Popular passages
Page 2 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 139 - The cube root of a number is one of the three equal factors of the number. Thus the cube...
Page 13 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 101 - Law of Sines — In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Page 6 - When the number is greater than 1, the characteristic is positive, and is one less than the number of digits to the left of the decimal point...
Page 15 - To find any power of a given number, multiply the logarithm of the number by the exponent of the power. The product is the logarithm of the power.
Page 110 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Page 4 - In it the right angle is divided into 100 equal parts called grades, the grade into 100 equal parts called minutes, and the minute into 100 equal parts called seconds.
Page 161 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides...
Page 14 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.