A Treatise on Elementary TrigonometryMacmillan & Company, 1885 - 274 páginas |
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Página 1
... Hence , the measure of a quantity is the number , and the unit is the concrete quantity , by means of which it is measured . Example 1. A line contains 261 feet . Here the measure or number is 261 and the unit a foot . Example 2 . is ...
... Hence , the measure of a quantity is the number , and the unit is the concrete quantity , by means of which it is measured . Example 1. A line contains 261 feet . Here the measure or number is 261 and the unit a foot . Example 2 . is ...
Página 15
... of the circumference of a circle to its diameter . Hence the universal custom has arisen , of denoting its exact value by the letter π . 29. Thus stands always for the exact value of a THE CIRCUMFERENCE OF A CIRCLE . 15.
... of the circumference of a circle to its diameter . Hence the universal custom has arisen , of denoting its exact value by the letter π . 29. Thus stands always for the exact value of a THE CIRCUMFERENCE OF A CIRCLE . 15.
Página 17
... Hence the perimeter of the second polygon is nearer the circumference , but is less than the circumference . By bisecting the arcs of the second polygon we should get a third polygon , whose perimeter is nearer the circum- ference of ...
... Hence the perimeter of the second polygon is nearer the circumference , but is less than the circumference . By bisecting the arcs of the second polygon we should get a third polygon , whose perimeter is nearer the circum- ference of ...
Página 19
... Hence the circumference of any circle of radius r = ( 3.14159265 etc. ) x its diameter = 2πr . 35. We may notice that 22 = 3.142857 . So that 22 and differ by less than a thousandth part of their value . Also 355 11 = 3.1415929 etc. 113 ...
... Hence the circumference of any circle of radius r = ( 3.14159265 etc. ) x its diameter = 2πr . 35. We may notice that 22 = 3.142857 . So that 22 and differ by less than a thousandth part of their value . Also 355 11 = 3.1415929 etc. 113 ...
Página 27
... Hence , to express an angle given in grades , minutes and seconds as the decimal of a right angle , we have only to observe that the first and second decimal places are occupied by the grades , the third and fourth decimal places are ...
... Hence , to express an angle given in grades , minutes and seconds as the decimal of a right angle , we have only to observe that the first and second decimal places are occupied by the grades , the third and fourth decimal places are ...
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algebraical angle of elevation angle ROP ARITHMETIC Assistant-Master base BOOK Cambridge centre circle circular measure circumference Clifton College common logarithms cos² cos³ cosec cosine Crown 8vo decimal diameter Draw PM Edited by Rev ELEMENTARY TREATISE English equal equation Eton College Example Express Extra fcap feet Fellow of St Fellow of Trinity Find the angle Find the number formulæ fraction GEOMETRY Globe 8vo grades GRAMMAR Greek Hence HISTORY hypotenuse inscribed Introduction and Notes J. P. MAHAFFY John's College late Fellow LATIN length LL.D logarithms magnitude Mathematics miles negative numerous Illustrations observed Owens College Oxford perimeter perpendicular positive PRIMER Professor prove Quadrant radians radius regular polygon revolving line right angle School sides significant figures sin² sin³ sine student subtends tangent tower triangle ABC Trigonometrical Ratios Trinity College University yards
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