Cyclomathesis : or, An easy introduction to the several branches of the mathematics; being principally designed for the instruction of young students, before they enter upon the more abtruse and difficult parts thereof . wb. zip. a zz 13P + 3 z=3, 16, &c. ^6397. 13? zz #3161 the number fought. P R O B. LVI. *f man bought 20 &><& /br 20 pence •, £**/£ 0/ « 4 5 r ed. 0 zz geefe, * zz quails, jy zz -\- e +y zz + i* + -ijy zz zz2o — a — e 40 + i* + 5 — zz 20. 4150 + £ zz 60B b 6. 7° UNLIMITED 6, \ j\a _d 4. 2 tran. 8 e zz 20 —a—y 3, 8 9 a + y 40+ io+-i> 2 9 red. 10
Cyclomathesis : or, An easy introduction to the several branches of the mathematics; being principally designed for the instruction of young students, before they enter upon the more abtruse and difficult parts thereof . wb. zip. a zz 13P + 3 z=3, 16, &c. ^6397. 13? zz #3161 the number fought. P R O B. LVI. *f man bought 20 &><& /br 20 pence •, £**/£ 0/ « 4 5 r ed. 0 zz geefe, * zz quails, jy zz -\- e +y zz + i* + -ijy zz zz2o — a — e 40 + i* + 5 — zz 20. 4150 + £ zz 60B b 6. 7° UNLIMITED 6, \ j\a _d 4. 2 tran. 8 e zz 20 —a—y 3, 8 9 a + y 40+ io+-i> 2 9 red. 10 7#—\y ~ 20. 10 11 # c_ 2. 7> « 12 ^ = 3 2, 12 13 e + y zz 17. 3, 12 14 i-e + iy = s. 14 x (2) *5 l7 * & I5» b. ir =2 20 P R O B. LV1I. A, B, C, tf#d /fe> cwz;^ P, Q, R, went to thmarket to buy hogs. Each man and woman boughias many hogs as they gave /hillings for each hog—A bought 23 hogs more than Q-, and B bought11 more than P. Alfo each man laid out 3 gui-neas more than his wife. Which 2 perfons werman and wife. Let. But x tz hogs fome man bought x —y zz wifes hogs,the money for the mans zz xx9xx— 2xy + yy zz wifes zz xx — 2xy -\-yy + 6gt2xy = 63 +jry 2jy *• — y zz - =w^ In this cafe j muft be annumber, z 1, 3, 5, 7, & cannot be 5. odebu Sett. IV,8, pr quell. 10 11 PROBLEMS. If y = i, * — jaz 31, *=: 3*jy = 3, * — y zz g, x zz 12,j 21 7, *—j zz 1, x zz 8A has 32 hogs, and Q 9,Alfo B has 12, and P 1,Whence B and QC and PA and R 37* are man andwife. P R O B. LVIII. ¥0 find f, y in whole numbers* fo that yy — ee -J- lief= 184, 1 To deprefs the equation, put_yzz#+£. 2 yy—^+22£:z:#tf+2X£-}-22^ — __ 92 —-|## 2 -r-2 -r- 4> 5>Put 6> 7 o, 9to 5> 9 11 II -r (2) 12 184 e zz - — wh» 22 + 2X 11 -J- ^ therefore # mud be an evennumber. Therefore rather make 2e zz 184 xv zz w£. II -j- X reduce the equation as low as itcan, then ze zz — x + 11 + — zz wh. 11 63 wh. 11 -r x 11 + a; zz p — =z w£.
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