CORRECT ANSWERS.

Otago Witness, Issue 1456, 11 October 1879, Page 21

CORRECT ANSWERS.

Hope. Dunedin, 151 (nearly— answer,£4l3 J 683 lls HP), 153. Kiwi, Duntroon, 153. T. M'G., Mataura, 151 (nearly). GK M. W., Kyeburn Diggings, 151 (nearly— ans., £413,683 lls 10 Ad j average rate, £36 5a 3£d), 153. J. F. Morris, Purakanui, 152, 153. Stranger, Waitahuna, 152.

Patena, Invercargill, writes :—ln: — In my reply to problem No. 147, there are two misprints. The copy I have is 440 acres 2 roods 37 poles 28)f$ yards ; not 440 acres 2 roods 38 poles 28J§& yards.

Convemence, Lake Wakatip — Kiwi, Duntroon, kindly sends the following answer to your question : — The bearing power of the rope is four times its thickness, multiplied by the absolute strength or direct cohesion of iron wire (80,0001bs. avoir, per sq. in.) divided by the length of the rope, if the weight is to be suspended at the middle, or by one third of the length, if uniformly distributed along it.

80,0001bs. per square inch=62,B32lbs. per running inch. 4x1x62832-7-1440 inches, the length =l74ilbs. 4x1x62832-r- 480 „ „ =523ilbs. See Hutton on Flexibility, Strength, and Rupture of Materials. Bk. H. pp. 371—385.

"R. T.," Nuggets; "Kiwi;" and the " Golden Crown" Problem. — As I presume the the mathmatical questions are published for instruction, as well as amusement, I have endeavoured at all times, to make the solutions (which I have forwarded with my problems) as clear as possible, so that those who fail in working them out may sea where they have erred. The " Crown" question is one that I selected from a work on Specific Gravity, and the solution I sent, I worked out by the rule accompanying it; though I may inform " Kiwi" that I have worked this, and similar questions, by Alligation, twenty years ago. To the uninitiated, Alligation solutions are not a source of light. " Kiwi" assures me that my information concerning his question "is not at all new." I admit that it is not new to those who know, but to those who know not ; and for the latter it was intended. " Kiwi" then asserts that there axe many ways of killing a cat. Might I ask him, how many ? — as there are no rules laid down in my mathematical works on catkilling. He next says, my methodjis as ancient aB his own. This I must deny. My reason for calling attention to " Kiwi's^ solution, was, because his method is not applicable to large numbers, and at best is but a makeshift. If " Kiwi" thinks otherwise, lei him send an answer (solved by his own method) to the following question : — How many cannon balls are there in a complete triangular pile, each side of the base containing 10,000 shot ? I will not promise to measure the columu space, nor count the number of figures that will be necessary for his solution, but will leave that for my friend also. R T., Nugget Point.