## Elementary Trigonometry |

### From inside the book

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**π**. 355 113 The fraction gives a closer approximation . The accurate value of the ratio to 5 places of decimals is 3 · 14159 . 20. Suppose we call the radius of a circle r : then the dia- meter = Now 2r . circumference diameter ... Page 11

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**π**angle AOP = 2 right angles T Thus the magnitude of the angle AOP is independent of r and is therefore the same for all circles . CHAPTER II . ON THE MEASUREMENT OF ANGLES . 22. RATIO OF CIRCUMFERENCE TO DIAMETER . 11. Page 16

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**π**= 3.14159 = 57 ° -2958 nearly . Now if BC be the quadrant of a circle , and if we suppose the arc BC to be divided ...**π**times the unit of circular measure = 2 right angles . Hence**π**an angle whose circular measure is is equal to ... Page 18

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**π**of two right angles . 37. It is not usual to assign any distinguishing mark to angles estimated by the Third Method , but for the purpose of stating the relation between the three units in a clear and concise form , we shall use the ... Page 21

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**π**of**π**units of circular measure**Π**= 3 units of circular measure ; 180 Dπ D ° = units of circular measure . 180 Hence we obtain the following rule : If an angle be expressed in degrees , multiply the measure in degrees by**π**, divide the ...### Other editions - View all

### 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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