A Treatise on Elementary TrigonometryMacmillan & Company, 1885 - 274 páginas |
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... DIAMETER IV . ON THE MEASUREMENT OF ANGLES V. THE TRIGONOMETRICAL RATIOS VI . ON THE RATIOS OF CERTAIN ANGLES 4343 14 23 53 VII . ON THE TRIGONOMETRICAL RATIOS OF THE SAME ANGLE 66 VIII . ON THE USE OF THE SIGNS + AND 86 IX . ON THE USE ...
... DIAMETER IV . ON THE MEASUREMENT OF ANGLES V. THE TRIGONOMETRICAL RATIOS VI . ON THE RATIOS OF CERTAIN ANGLES 4343 14 23 53 VII . ON THE TRIGONOMETRICAL RATIOS OF THE SAME ANGLE 66 VIII . ON THE USE OF THE SIGNS + AND 86 IX . ON THE USE ...
Página 6
... BD and AD . .. 102 sq . ft . = 62 sq . ft . + x2 sq . ft . .. 102 = 62 + x2 , .. x2 = 100-36 , .. x = 64 , .. x = 8 . Therefore the required length of AD is 8 feet . Example 3. Find the length of the diameter of the TRIGONOMETRY .
... BD and AD . .. 102 sq . ft . = 62 sq . ft . + x2 sq . ft . .. 102 = 62 + x2 , .. x2 = 100-36 , .. x = 64 , .. x = 8 . Therefore the required length of AD is 8 feet . Example 3. Find the length of the diameter of the TRIGONOMETRY .
Página 7
... diameter BD be x feet . Then the square on DB = the sum of the squares on DA and AB . .. x2 sq . ft . = a2 sq . ft . + a2 sq . ft . .. x2 = a2 + a2 , .. x2 = 2a2 , .. x = √2 . a . Therefore the required length of the diameter is √2 ...
... diameter BD be x feet . Then the square on DB = the sum of the squares on DA and AB . .. x2 sq . ft . = a2 sq . ft . + a2 sq . ft . .. x2 = a2 + a2 , .. x2 = 2a2 , .. x = √2 . a . Therefore the required length of the diameter is √2 ...
Página 8
... diameter . ( 8 ) If the sides of an isosceles triangle be each 13a yards and the base 10a yards , what is the length of the perpendicular drawn from the vertex to the base ? ( 9 ) Show that the perpendicular drawn from the right angle ...
... diameter . ( 8 ) If the sides of an isosceles triangle be each 13a yards and the base 10a yards , what is the length of the perpendicular drawn from the vertex to the base ? ( 9 ) Show that the perpendicular drawn from the right angle ...
Página 10
... diameter are two incommensurable quantities . For if the side of a square contain a feet , the diameter ( see Example 3 , p . 7 ) contains √2 . a feet , and therefore the ratio of their measures is 1 : 2 . So that their measures are ...
... diameter are two incommensurable quantities . For if the side of a square contain a feet , the diameter ( see Example 3 , p . 7 ) contains √2 . a feet , and therefore the ratio of their measures is 1 : 2 . So that their measures 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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