 But the relations of these quantities will not be changed, if we suppose the path of motion to be a curve, instead of a straight line. The above formula will therefore apply to the hands of a clock moving around the dial-plate, or to the planets moving...  New University Algebra - Page 141by Horatio Nelson Robinson - 1875 - 412 pagesFull view - About this book
 | Charles Davies - Arithmetic - 1856 - 450 pages
...a yard. 10 yards at S2J a yard, and 4 yards at $3| a yard. OPERATION. 6 If 3fl 20 4 6 20 8 10 4 21. The hour and minute hands of a clock are together at 12 o'clock : when are they next together ? ANALYSIS. — Since the minute hand passes over 60 minute spaces while the hour-hand passes over... | |
 | Horatio Nelson Robinson - Algebra - 1858 - 372 pages
...little more than one circumference. This being understood, Equation (3,) (Art. 60,) gives us a su lution to the following problems. 1. The hour and minute...at 12 o'clock. When are they next together ? ' The 86th equation (Art. 40), if resolved in the briefest manner, will show 0 the influence of the factor... | |
 | James Elliot - 1860 - 252 pages
...and fifth shall be 1040. Ans. +13, +39, +117, +351, +1053, or - 1053, - 351, - 117, - 39, - 13. R. If the hour and minute hands of a clock are together at 12, what ought to be their next time of meeting? 13. Two women occupy adjacent stalls at a fair. The one... | |
 | Charles Davies - Arithmetic - 1861 - 496 pages
...example, 3 yards at $1§ a yard, 10 yards at $2J a yard, and 4 yards at $3fa yard. DaJ DT , OPERATION. 18. The hour and minute hands of a clock are together at 12 o'clock : when are they next together ? ANALYSIS. — Since the minute-hand passes over 60 minute spaces while the hour-hand passes over... | |
 | Horatio Nelson Robinson - 1861 - 372 pages
...circumference. This being understood, Equation (3,) (Art. 60,) gives us a solution to the following problems. I. The hour and minute hands of a clock are together at 12 o1clock. When are they next together? * The 26th equation (Art. 40), if resolved in the briefest manner,... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...FORMULA FOR TIME APPLIED TO CIRCULAR MOTION. 194. The Problem of the Couriers gave us the formula, ab' in which a and b are the respective rates of motion,...circumference, the two hands will be together. a = 12, b = 1, and d = 12, to substitute in the formula. Hence, 12 12 ==lh. 5m. -— 2. At what time between... | |
 | Horatio Nelson Robinson - 1868 - 430 pages
...TO CIRCULAR MOTION. 194. The Problem of the Couriers gave us the formula, t- d szy in which a and Ъ are the respective rates of motion, d the distance...problems : 1. The hour and minute hands of a clock are togetJier at 12 o'clock ', when are they next together f The circumference of the dial-plate is divided... | |
 | Horatio Nelson Robinson - Algebra - 1872 - 436 pages
...¿±-.t-£5'f [I m which a and Ъ are the respective rates of motion, d the distance to be gained, and < the time to elapse before the couriers will be together....whole circumference, the two hands will be together. Taking one of these spaces for the unit of distance, and one hou» - for the unit of time, we have... | |
 | Daniel W. Fish - Arithmetic - 1874 - 298 pages
...flour, giving $10 for first quality, and $7 for second quality. How many barrels were there of each ? 9. The hour and minute hands of a clock are together at 12 M. When will they be exactly together the third time after this ? 10. Bought 15 bu. of wheat and 30... | |
 | Daniel W. Fish - Arithmetic - 1874 - 302 pages
...working together ? In how many days can each do it alone ? What part of the pay should each receive ? 9. The hour and minute hands of a clock are together at 12 M. When will they be exactly together the third time after this ? 10. Bought 15 bu. of wheat and 30... | |
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