A Treatise on Elementary TrigonometryMacmillan & Company, 1885 - 274 sider |
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Side 8
... triangle , whose hypo- tenuse contains 5a feet , are in arithmetical progression : prove that the other two sides contain 4a feet and 3a feet respectively . ( 9 ) * CHAPTER II . ON INCOMMENSURABLE QUANTITIES 8 TRIGONOMETRY . III .
... triangle , whose hypo- tenuse contains 5a feet , are in arithmetical progression : prove that the other two sides contain 4a feet and 3a feet respectively . ( 9 ) * CHAPTER II . ON INCOMMENSURABLE QUANTITIES 8 TRIGONOMETRY . III .
Side 15
... prove that this is the case . 26. But although we can prove that the circumference of a circle its diameter a fixed numerical quantity , the method of calculating the value of this number is beyond the limits of an elementary treatise ...
... prove that this is the case . 26. But although we can prove that the circumference of a circle its diameter a fixed numerical quantity , the method of calculating the value of this number is beyond the limits of an elementary treatise ...
Side 16
... prove that the ratio of the circum- ference of a circle to its diameter is the same for all circles . The proof depends on the following important principle ; The length of the circumference of a circle is that to which the length of ...
... prove that the ratio of the circum- ference of a circle to its diameter is the same for all circles . The proof depends on the following important principle ; The length of the circumference of a circle is that to which the length of ...
Side 31
... prove ( Art . 60 ) that this angle ROS is a fixed fraction of a right angle , so that all such angles are equal to one another . 58. We may state the same thing thus - We are about to prove that if we take any number of different ...
... prove ( Art . 60 ) that this angle ROS is a fixed fraction of a right angle , so that all such angles are equal to one another . 58. We may state the same thing thus - We are about to prove that if we take any number of different ...
Side 35
... ( 6 ) 10 " . 2008 ( 8 ) ( 9 ) 10008 . π Зп ( 1 ) 45 ° to ( 2 ) 60 ° to 60o . 4 ( 3 ) 258 to 22 ° 30 ' . ( 4 ) 24 to 2o . 1000 ( 5 ) 1.75 ° to ( 6 ) 1 ° to 1 ° . π * 71 . To prove that the measure of an 3-2 EXAMPLES . IX . 35 336.
... ( 6 ) 10 " . 2008 ( 8 ) ( 9 ) 10008 . π Зп ( 1 ) 45 ° to ( 2 ) 60 ° to 60o . 4 ( 3 ) 258 to 22 ° 30 ' . ( 4 ) 24 to 2o . 1000 ( 5 ) 1.75 ° to ( 6 ) 1 ° to 1 ° . π * 71 . To prove that the measure of an 3-2 EXAMPLES . IX . 35 336.
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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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