The Elements of Algebra in Ten Books

The Elements of Algebra in Ten Books

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1740 edition. Excerpt: ...be the number of men the figure took up; but according to the problem, .he had 60 men more z therefore xx+6o will represent his whole number of men: suppose now he had x+ 1 men Put x for the number of hours each travelled 3 then to find how many miles the first travelled, say, if in 2 hours he travelled 3 miles, how far if in 4. hours he travelled 5 miles, how far did he travel in x hours? and the answer is T; therefore both their journies put together make + &e.; '-but they both travelled the whole distance, r 54 miles; therefore that is, 22x= 1232 z therefore x, the number of hours each travelled = 565; therefore 553., the number of miles the first travelled =84.; and T, the number of miles the second travelled =-_ 70, as above. Put x for the number of hours the first travelled, and consequently x-e 8 for the number of hours wherein the second travelled: then to find the miles travelled by the first, say, if in 5 hours he travels 7 miles, how far will-he travel in x hours? and the answer is T; then for the other say, if in 3 hours he travelled 5 miles, how far will he travel in whence x-8, the hours travelled by the second = 42 3 ZSX, the miles 57. One looking upon a clock, and being ashed wbat a clock it was, ans-wered, between 5 and 6 3 but a more particular-aiffwer being desired, be said, tbat at tbat very moment, tbe minute band and tbe bour band were togetber: wbat was tbe time of tbe day? AnJII Just 5, -of an hour, or 27 minutes and about 16 scconds past 5. p For a clearer and more distinct explication of this answer, and of the' following solution, let us (tall that point upon the dial plate wherein the ' two hands are supposed to exist together at the instant sought, between.-the hours of 5 and 6, A 3 then, fince the hour hand...show more

Product details

  • Paperback | 76 pages
  • 189 x 246 x 4mm | 154g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236947908
  • 9781236947901