Plane Trigonometry for Colleges and Secondary Schools

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Longmans, Green, and Company, 1899 - Plane trigonometry - 206 pages
 

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Page 194 - The area of a regular polygon inscribed in a circle is a geometric mean between the areas of an inscribed and a circumscribed regular polygon of half the number of sides.
Page 122 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Page vii - ... facility other French books. In the Dictionary at the end, is given the meaning of every- word contained in the book. The explanatory words are placed at the end of the book, instead of at the foot of the page; by this method learners will derive considerable benefit.
Page 54 - The area of a triangle is equal to one-half the product of the base by the altitude ; therefore, if a and b denote the legs of a right triangle, and F the area, F = \ ab.
Page 21 - Prove (sin A + cos A) (tan A + cot .A) = sec A + cosec A.
Page 18 - Arcs 60 seconds (") =1 minute (') 60 minutes = 1 degree (°) 90 degrees = 1 right angle 360 degrees = 1 circle...
Page 5 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Page 191 - Two observers on the same side of a balloon, and in the same vertical plane with it, are a mile apart, and find the angles of elevation to be 17° and 68° 25' respectively : what is its height ? [1836 feet.
Page 173 - AC is the side of a regular inscribed polygon of double the number of sides, namely, 2 n sides.
Page 51 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?

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