Notices to Correspondents.

Southland Times, Issue 1268, 21 June 1870, Page 2

Notices to Correspondents.

Question No. 5. — Answer : Victoria, Napoleon. ' Correct — -Maria, Jeannette, Peter the Little, Znleika, Margaret Fides, Veritas. Question No. 6 — Answer: 27 persons. Correct —The above, and Victorian. Question No. 7.— Answer : 5.359375, or 5 23-64 apples. Correct — Veritas, Maria, Jeannette, Peter the Little, Victorian. The solution of Veritas is longer than necessary. On the principle that spheres are to each other as the cubes of their diameters, it follows that the cube of the diameter, of the larger apple, divided by that of the less, will give the result. His formula for calculating" the extent of the visible horizon is not Tery intelligible. It ought to be : If E = the - xadius of. risible horizon, H = the height of the observer in feet, and D = the diameter of the earth in feet, then, on the principle that if from the same point withont a circle two straight lines be drawn, the one to out and the other to touch : the circle^, the rectangle contained by the* whole ' of the cutting line, and the part of it without the circle, will be equal to the square of the tangent, - or the radius of the visible horizon. Hence the formula — R = the square root of H(DfH) to which add 1-12 for refraction.