Pure mathematics, Volum 11874 |
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Resultat 1-5 av 7
Side 336
... sine of an arc BC is the perpen- dicular from one extremity , C , of the arc upon the diameter passing through the other extremity B. Thus CS is the SINE of the arc BC . ( 2. ) The cosine of an arc is the sine of the complement of the ...
... sine of an arc BC is the perpen- dicular from one extremity , C , of the arc upon the diameter passing through the other extremity B. Thus CS is the SINE of the arc BC . ( 2. ) The cosine of an arc is the sine of the complement of the ...
Side 337
... sine falls , which is included between the sine and the extremity of the arc . Thus , SB is the VERSED SINE of the arc BC . ( 8. ) The coversed sine is the versed sine of the complement of the arc . Thus , S'D is the COVERSED SINE of ...
... sine falls , which is included between the sine and the extremity of the arc . Thus , SB is the VERSED SINE of the arc BC . ( 8. ) The coversed sine is the versed sine of the complement of the arc . Thus , S'D is the COVERSED SINE of ...
Side 340
Edward Atkins. 7. To express the trigonometrical ratios in terms of the sine . ( 1. ) Cos A = √1 - sin A , by Art . 6 ( 6. ) ( 2. ) Tan A = = ( 3. ) Cot A = sin A cos A ' by Art . 6 ( 9. ) , sin A √1- = - sin2 A cos A sin A ' - by Art ...
Edward Atkins. 7. To express the trigonometrical ratios in terms of the sine . ( 1. ) Cos A = √1 - sin A , by Art . 6 ( 6. ) ( 2. ) Tan A = = ( 3. ) Cot A = sin A cos A ' by Art . 6 ( 9. ) , sin A √1- = - sin2 A cos A sin A ' - by Art ...
Side 342
Edward Atkins. 14. ( a sin o cos - - ( b sin 0 cosp 15. If x = that x2 + y2 16. If a - + r cos e cos p ) ( b sin 0 sin 4 + r sin ◊ cos 4 ) r sin o sin 4 ) ( a sine sin o + r cos e sin 4 ) = r sine ( r cose + a sin e ) . - r sin e cos p , y ...
Edward Atkins. 14. ( a sin o cos - - ( b sin 0 cosp 15. If x = that x2 + y2 16. If a - + r cos e cos p ) ( b sin 0 sin 4 + r sin ◊ cos 4 ) r sin o sin 4 ) ( a sine sin o + r cos e sin 4 ) = r sine ( r cose + a sin e ) . - r sin e cos p , y ...
Side 345
... Sin 90 ° 1 = 1 , cos 90 ° = OP1 1 tan 90 ° = ∞o . 0 OP . = 1 , 1 OP , 0 Hence , as the angle increases from 0 ° to 90 ° - The sine changes in magnitude from 0 to 1 and is + . The cosine changes in magnitude from 1 to 0 and is + . The ...
... Sin 90 ° 1 = 1 , cos 90 ° = OP1 1 tan 90 ° = ∞o . 0 OP . = 1 , 1 OP , 0 Hence , as the angle increases from 0 ° to 90 ° - The sine changes in magnitude from 0 to 1 and is + . The cosine changes in magnitude from 1 to 0 and is + . The ...
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Pure Mathematics: Including the Higher Parts of Algebra and Plane ..., Volum 1 Edward Atkins Uten tilgangsbegrensning - 1877 |
Vanlige uttrykk og setninger
amount base called cent centre circle common Const contained decimal denominator describe difference distance divided divisible divisor double draw drawn equal equation evident example expression factor figures Find four fraction give given greater half Hence hour integer interest join less letters logarithm measure meet metres miles Multiply negative obtained opposite parallel parallelogram pass perpendicular places positive PROOF.-Because Q. E. D. Proposition quantity quotient ratio rectangle Reduce remainder respectively result right angles rule segment sides square square root straight line subtraction third touch triangle twice units whole
Populære avsnitt
Side 272 - The angles in the same segment of a circle are equal to one another.
Side 103 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Side 233 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines, and let BC be divided into any...
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Side 128 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 119 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Side 113 - ... equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other.
Side 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Side 281 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 121 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.