Elementary Trigonometry |
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Page 3
... given , we can 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 ...
... given , we can 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 ...
Page 13
... has come into the position indicated in the figure . It has then described an angle EQP greater than two right angles . 25. The magnitudes of angles are represented by numbers expressing how many times the given angles contain a certain ...
... has come into the position indicated in the figure . It has then described an angle EQP greater than two right angles . 25. The magnitudes of angles are represented by numbers expressing how many times the given angles contain a certain ...
Page 14
... given angle be 39o . 5 ' . 33 ′′ , 5 ' . 33 " = 333 " . Then since 1o = 3600 ... angle to be divided into 100 equal parts , each of which parts is called ... contains . Grades , minutes and seconds are marked respectively by the ...
... given angle be 39o . 5 ' . 33 ′′ , 5 ' . 33 " = 333 " . Then since 1o = 3600 ... angle to be divided into 100 equal parts , each of which parts is called ... contains . Grades , minutes and seconds are marked respectively by the ...
Page 19
... given angle contain D degrees . 1 degree .. D degrees = = = 1 90 D 90 D 90 of a right angle ; of a right angle 100D of 100 grades = grades 90 10D = grades . 9 Hence we obtain the following rule : If an angle be expressed in degrees ...
... given angle contain D degrees . 1 degree .. D degrees = = = 1 90 D 90 D 90 of a right angle ; of a right angle 100D of 100 grades = grades 90 10D = grades . 9 Hence we obtain the following rule : If an angle be expressed in degrees ...
Page 20
... given angle contain G grades . 1 grade = .. G grades = 1 100 G 100 of a right angle ; of a right angle G of 90 degrees 100 90G degrees 100 9G = degrees . 10 Hence we obtain the following rule : If an angle be expressed in grades ...
... given angle contain G grades . 1 grade = .. G grades = 1 100 G 100 of a right angle ; of a right angle G of 90 degrees 100 90G degrees 100 9G = degrees . 10 Hence we obtain the following rule : If an angle be expressed in grades ...
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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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