Page 13 Advertisements Column 3

Otago Witness, Issue 1340, 4 August 1877, Page 13

NOTICES. BOARDING and DAY SCHOOL for YOUNG LADIES, Lackbeg House, Upper Walker street, Dunedin. Conducted by the Misses Sproale. Established January, 1866. Prospectuses on application. 14jy MONEY TO LEND, in sums cf £100 and upwards, at 8 per cent. Waste Land Board and Land Office business attended to. GILLIES, STREET, AND HISLOP, Land and Estate Agents and Auctioneers, Bond street, Dunedin. 17m DOBIN AND COl ** Octagon and Stuart street, HAVE FOR SALE— Abbot's hooded buggies, Single buggies, oar own and American build, Double buggies, Station and family waggons, A good light gig, suitable for a doctor, A very handsome sporting cart, And An assortment of second-hand buggies and family carriages DODBLE FURROW PLOUGHS.— We have for sale a consignment of the above, of different designs, and prices from £12 10a, made by the celebrated Murray and Co., of Banff, who hold a first prize from the Royal Agricultural Society for their marufactures. Parties have now an opportunity of supplying themselves with an excellent article at a very low price, as our instructions are to sell. NIMMO and BLAIR, Dunedin. WHISKY.— A skilful blend of the best ■Whisky, thoroughly matured,, is sold by BANKS, BARRON, and Co. (successors to Barron, Grant, and Co.) at 42s per dozen. This Whisky pleases the most critical. TNVALIDS who require Port Wine, and J_ have difficulty in obtaining any they can rely upon, should send for their supplies to BANKS, BARRON, and Co., Dunedin successors to Barron, Grant, and Co.), who devote special attention to the sale of a suitable kind. Their Port Wine for Invalids {Yellow Seal) is pure and agreeable. It is Bold at 5s per bottle, or 60s per dozen. When requested, samples of this wine will be submitted for approval, free of cost, to any Medical Gentleman.

TO CORRESPONDENTS. Correspondents must enclose name and address, not for publication, but as a guarantee of good faith. We in all cases claim the right to correct or abbreviate communications. We cannot guarantee the return of rejected MSS., unless accompanied by a stamped envelope. A MINER.— Your essay on " Nature's Plan of Building up the Universe," would not, we fear, prove interesting to many of our readers. G-- S. ¥. E., One Tree Point.— We do not see what good, would result from the publication of your letter. The subject is scarcely worthy of further notice. NOTES AND QUERIES. A MINER sends us a curious essay upon the laws -which govern the Universe. He wishes, he says' to call the attention of scientific men to a discovery which he has made ; it is this : That the magnetic pole of the earth is traveling to the southward, and the "nervetie pole," or the force that heats the Gulf Stream, is travelling to the west. This, he says, is the key to scientific treasures. All suns and planets have life suitable to their nature. Magnetism performs the same office in the planets as the blood in the animal. They all pass through three changes — two of development, and one of rest. Our sun is at present in the burning stage. From his flames arise gases which form belts around him, and these belts turn first into comets and then worlds. The metallic vapours in these gases are drawn together by magnetism. The earthy is now in the state of rest, and it will remain so until the day of judgment, when it will blaze up, and bring forth young worlds or rather moons. JOHN DAVTES, Switzers. — Mr Beverly sends the following answer : — The reason why 8 and 3 are used, is because the difference between a small arc and its chord varies as the cube of the chord, nearly, the radius being the same. This will be best shown by an example. Let rad. =1, and arc =60 °. Then the the length of arc = T0472, and its chord =1. Hence : — chord 60" = 1 diff. = '0472 2 chord 30 =1-0353 „ = '0119 (=£-0472) 4 chord 15 = r0442 „ = "0030 (=£-0119) 8 chord 7£ = 1-0464 „ = -0008 (=£-0030) Now the sum of i+ ■& +£ + s>s5 > s diff. = therefore the difference between twice the chord of 30° and arc 60°, is equal to one-third of the difference between chord 60° and 2 chord 30°, nearly. Or if c = the chord of an arc and h = the cord of half the arc, = arc -2 h, hence 8 -^- c = arc , nearly. The rule is not true for large arcs. J. MITCHELL writes :— " Thanks to Arthur Beverly for pointing out my error in supposing the shortest distance between two places on opposite sides of the equator, and differing in longitude, to be a mathematically straight line, or, in other words, a true great circle of the sphere ; on account of the earth's being not a sphere, but an oblate spheroid. I had discovered my mistake, but omitted to acknowledge it in time for this week's issue,"