Elementary Trigonometry |
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Page 1
... determining the magnitude of the sides and angles of triangles , but it has been extended to the treatment of all theorems involving the consideration of angular magnitudes . 2. By way of introduction to the subject we have to treat in ...
... determining the magnitude of the sides and angles of triangles , but it has been extended to the treatment of all theorems involving the consideration of angular magnitudes . 2. By way of introduction to the subject we have to treat in ...
Page 3
... determine the third . For example , if r = 5 and q = 3 , p2 + 9 = 25 , .. p2 = 16 , .. p = 4 . EXAMPLES . - II . ( 1 ) The hypothenuse being 51 yards , and one of the sides containing the right angle 24 yards , find the other side . ( 2 ) ...
... determine the third . For example , if r = 5 and q = 3 , p2 + 9 = 25 , .. p2 = 16 , .. p = 4 . EXAMPLES . - II . ( 1 ) The hypothenuse being 51 yards , and one of the sides containing the right angle 24 yards , find the other side . ( 2 ) ...
Page 8
... determined by various methods . If we take a piece of string which will exactly go round a penny , and another piece which will exactly stretch across the diameter of the penny : if we then set off along a straight line seven lengths of ...
... determined by various methods . If we take a piece of string which will exactly go round a penny , and another piece which will exactly stretch across the diameter of the penny : if we then set off along a straight line seven lengths of ...
Page 8
... Determine in grades the magnitude of the angle sub- tended by an arc two feet long at the centre of a circle whose radius is 18 inches . 15. Compare the measures of 23 ° . 5 ′ when expressed in cen- tesimal and circular measure , taking ...
... Determine in grades the magnitude of the angle sub- tended by an arc two feet long at the centre of a circle whose radius is 18 inches . 15. Compare the measures of 23 ° . 5 ′ when expressed in cen- tesimal and circular measure , taking ...
Page 10
... Determine in grades the magnitude of the angle sub- tended by an arc two feet long at the centre of a circle who radius is 18 inches . 15. Compare the measures of 23 ° . 5 ′ when ex tesimal and circular measure , taking π == 22 7 • 16 ...
... Determine in grades the magnitude of the angle sub- tended by an arc two feet long at the centre of a circle who radius is 18 inches . 15. Compare the measures of 23 ° . 5 ′ when ex tesimal and circular measure , taking π == 22 7 • 16 ...
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Common terms and phrases
angle AOP angle be expressed angle EQP angle whose circular Arithmetical Progression Cambridge centre circle circular measure circumference College List convert the measure cos² cos³ cosec cosine Crown 8vo Edition equal expressed in degrees feet find the angle find the number following angles formula given angle contain Given find Given log Greek Isocrates John Edwin Sandys John Henry Blunt Let the given logarithm magnitude minutes and seconds multiply the measure negative number of degrees number of grades Pall Mall QP revolves radius regular polygon right angles right-angled triangle School and College Sexagesimal shew sides sin² sin³ sine subtends an angle tan² tan³ tangent Thomas Kerchever Arnold Thucydides triangle ABC Trigonometrical Ratios Trinity College unit of angular unit of circular Waterloo Place π π
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