## Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |

### From inside the book

Results 1-5 of 31

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**ratio**of 2 : 3 , B in the**ratio**of 3 : 7. What quantity must be taken from each in order to form a third mixture which shall contain 5 gallons of water and 11 of wine ?**RATIOS**, PROPORTION AND VARIATION . 1. Determine which is the greater ... Page 31

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**ratio**; and find that**ratio**. 14. The nth term of an arithmetical series is the sum of n terms . 3n - 1 6 ; find 15. The sums of n terms of two arithmetical series are as 13-7n : 1+ 3n ; find the**ratio**of their first terms . 16. Every ... Page 32

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**ratio**. 10. Given the sum of three quantities in geometrical pro- gression , and the sum of their reciprocals ; find the quantities themselves . 11. In every geometrical progression consisting of an odd number 32 ALGEBRA . Page 33

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**ratios**the quantity 1 1 " n 1 , respectively ; find the value of 1 1 + .... + S. S1 S2 ཎྞཱ་ 16. The ( p + q ) th term of a geometrical series = P , the ( p - q ) th Q ; find the pth and qth terms . = 17. If a , b , c , d are in ... Page 35

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**ratio**which the third has to the fourth . 10. If P , Q , R be respectively the pth , qth , and 7th terms of an harmonical series , prove that ( p −q ) PQ + ( r− p ) RP + ( q − r ) QR = 0 . PERMUTATIONS AND COMBINATIONS . 1. Find the ...### Other editions - View all

### Common terms and phrases

2nd Edition 3rd Edition 4th Edition acceleration tending arithmetical arithmetical mean arithmetical series bisected centre of gravity chord circle concave cone Conic Sections conjugate convex lens Crown 8vo cylinder determine diameter directrix distance drawn Elementary ellipse English equal equation extremity F. A. Paley Fcap feet Find the number find the value fluid focal length foci focus geometrical progression given point given weight harmonic mean horizontal inches incident inclined plane inscribed intersection Latin latus rectum locus luminous point middle point mirror Multiply parabola parallel particle describes passing perpendicular position Post 8vo pressure prism projected prove pully quantity radii radius ratio reflected refracting respectively shew sides sinČ specific gravity sphere spherical square straight line string subtends surface tangent tower velocity vertex vertical

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