## Elements of Plane Trigonometry |

### From inside the book

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Page 4

James Hann. Find the

James Hann. Find the

**number**of degrees and minutes in 46 ° 56 ′ 36 ′′ . F 46.5636 F - = 4.65636 10 F E = F ...**sides**, Æ ° = 180 ° n 360 ° In octagon 180 ° - = 180 ° -- 45 ° 135 ° . 8 4 360 ° In dodecagon = 180 ° . = 180 4 ... Page 5

...

...

**number**of degrees in a circular arc 30 feet in length , of which the radius is 25 feet . 180 ° a A ° = X π 2 ' 180 ...**sides**. Sum of angles = 17 - 2π by Euc . TRIGONOMETRY . 5. Page 6

... no angle can be so great as 180 ° ; .. the figure has nine sides . ( 8 ) One regular polygon has two sides more than another , and each of its angles exceeds each angle of the other poly- gon by 15 ° ; find the

... no angle can be so great as 180 ° ; .. the figure has nine sides . ( 8 ) One regular polygon has two sides more than another , and each of its angles exceeds each angle of the other poly- gon by 15 ° ; find the

**number of sides**in each ... Page 7

...

...

**number of sides**. Let n = =**number of sides**in 1st , 2n**number of sides**in 2nd , A = N 2 A = B = 2 each angle , each angle , π = 2n π B - 22 2n B n 1 3 = also - A п 2 2 = 3n - 6 , n - 1 T , n ... 2n - 2 n = = 4 , 2n = 8 . ( 10 ) The ... Page 4

James Hann. Find the

James Hann. Find the

**number**of degrees and minutes in 46 ° 56 ′ 36 ′′ . F F = - 46.5636 = 4.65636 10 F EF ...**sides**, Æ ° In octagon 180 ° - 360 ° 8 360 ° = 180 ° n = 180 ° -- 45 ° 135 ° . 360 ° In dodecagon 180 ° = 180 ° 30 ...### Other editions - View all

### Common terms and phrases

1+tan AB² AC² angle ACB AP AP AP AP² ARITHMETIC Asin Atan B+cot centre circular measure circumference cos² cos³ cosec cosine cot 4+cot cot A cot cot² OCA diameter distance equal equation Euclid feet Find the number formula given GRAMMAR height Hence hexagon inscribed circle IVY LANE J. R. Young King's College School log blog logarithms nth root number of degrees number of sides perimeter perpendicular plane triangle quadrant radii radius ratio regular polygon Rudimentary Treatise sec² shew sin A cos sin A sin sin¹ sin2 sin² 18 sin³ sine and cosine square subtend subtracted T. H. L. Leary tan-¹ tan² tangent triangle ABC Trigonometry unity VIRTUE BROTHERS W. D. Hamilton

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