Fifth book of lessons for the use of schools . struck byequal forces at x and at y, the force x would send ittowards n, and the forcey towards C: and sincethese forces are equal,the body cannot obeyone impulse rather thanthe other, yet as they arenot in direct opposition,they cannot entirely de-stroy the effect of eachother; the body will there-fore move, but, followingthe direction of neither,it will move in a line between them, and reach d in the same space oftime that the force x would have sent it to B, andthe force y would have sent it to c. Now, if two linesbe drawn from D to join B and
Fifth book of lessons for the use of schools . struck byequal forces at x and at y, the force x would send ittowards n, and the forcey towards C: and sincethese forces are equal,the body cannot obeyone impulse rather thanthe other, yet as they arenot in direct opposition,they cannot entirely de-stroy the effect of eachother; the body will there-fore move, but, followingthe direction of neither,it will move in a line between them, and reach d in the same space oftime that the force x would have sent it to B, andthe force y would have sent it to c. Now, if two linesbe drawn from D to join B and c, a square will beproduced, and the oblique line e, which the bodydescribes, is the diagonal of a square. Supposing thetwo forces to be unequal[Fig. 2] that x, for in-stance, is twice as greatas y; then x will drive theball twice as far as y, con-sequently the line A Bwill be twice as long asthe line AC; the bodywill in this case move toD; and if the lines be drawn from that point to B ando; the ball will move in the diagonal of a
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Keywords: ., bookcentury1800, bookdecade1860, bookpublishermontrealjohnlovell
