The Elements of Plane and Spherical Trigonometry |
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Page viii
... Observations CHAPTER II . PAGE 213 213 217 222 227 238 245 250 251 255 259 265 Miscellaneous Theorems and Problems for Practice 272 Functions of Simple Angles 272 Functions of Compound Angles 275 Trigonometrical Equations and ...
... Observations CHAPTER II . PAGE 213 213 217 222 227 238 245 250 251 255 259 265 Miscellaneous Theorems and Problems for Practice 272 Functions of Simple Angles 272 Functions of Compound Angles 275 Trigonometrical Equations and ...
Page 1
John Hind. TRIGONOMETRY . CHAPTER I. DEFINITIONS AND PRELIMINARY OBSERVATIONS . : ARTICLE I. DEFINITION . TRIGONOMETRY in its original acceptation is the Men- suration of the sides and angles of plane rectilineal Triangles but it here ...
John Hind. TRIGONOMETRY . CHAPTER I. DEFINITIONS AND PRELIMINARY OBSERVATIONS . : ARTICLE I. DEFINITION . TRIGONOMETRY in its original acceptation is the Men- suration of the sides and angles of plane rectilineal Triangles but it here ...
Page 22
... 180o . Hence , the observations made at the end of ( 5 ) may be depended upon , whatever be the sign or magnitude of the angle represented by the symbol A ; and because 180 ° + A and 360 ° + A , 22 ANGULAR FUNCTIONS .
... 180o . Hence , the observations made at the end of ( 5 ) may be depended upon , whatever be the sign or magnitude of the angle represented by the symbol A ; and because 180 ° + A and 360 ° + A , 22 ANGULAR FUNCTIONS .
Page 67
... observed that the figures in the horizontal row are always continued to 9 in the tables , but 6 , 7 , 8 , 9 are here omitted for want of room . Examples . ( 1 ) Required the product of 1200 and 4.5 . Here , by means of the former table ...
... observed that the figures in the horizontal row are always continued to 9 in the tables , but 6 , 7 , 8 , 9 are here omitted for want of room . Examples . ( 1 ) Required the product of 1200 and 4.5 . Here , by means of the former table ...
Page 71
... observed here , it fol- lows that in whole numbers , the characteristic is positive , and less by 1 than the number of figures they contain ; whilst in decimal fractions it is negative , and greater by 1 than the number of ciphers which ...
... observed here , it fol- lows that in whole numbers , the characteristic is positive , and less by 1 than the number of figures they contain ; whilst in decimal fractions it is negative , and greater by 1 than the number of ciphers which ...
Contents
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Other editions - View all
The Elements of Plane and Spherical Trigonometry: Designed for the Use of ... John Hind No preview available - 2012 |
The Elements of Plane and Spherical Trigonometry: Designed for the Use of ... John Hind No preview available - 2018 |
Common terms and phrases
a+b+c angular points arithmetical Article bisecting Cambridge centre circular measure circumscribed circle College corresponding cos a cos cos² cos³ cosec cosine Demoivre's Theorem denote Diff Edition equal equation express the sine find the rest formulæ functions Geometry given greater Hence imaginary inscribed John Machin logarithms magnitude multiple nearly negative number of sides number of terms obtained perpendicular places of decimals plane prove quadrant quadratic factors quantities r₁ radii radius regular polygon respectively right angles roots sec² shew sin A cos sin A sin sin² sin³ sin³A sine and cosine solid angle solution spherical triangle straight line tan-¹ tan'a tan² tan³ tangent triangle ABC Trigonometry values vers whence
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