THE RIDDLER.

Otago Witness, Issue 1898, 6 April 1888, Page 27

THE RIDDLER.

New Biddies. 4751. Charade.— By Kate 0. White, Lawrence:— My first is an animal. My second something to wear. And my whole a flower. 4752. Enigma. -By John Whyte, Oamaru:— Find a word of three syllables that spellsfthe same backwards and forwards. y , 475 H. Square.— By Gipsy,/ Moeraki :— A jewel; a boy's name; a girl's name; streams; smallest. . ' - " 4754. Riddle.— Selected by Mignonette, Herbert i— Ma and pa-and Nora went to see a show ; ~ Now, I've told you where they went to, Therefor*, I hope you know. 4755. Diamond. — By Myrtle, Wait&huna : — Fiist is ' a consonant; second, a blow; third, thick; fourth,. corroding flesh; fifth; patience peri sonified ; sixth, a spot on the skin';* seventh, a verb ; eighth, a beverage ; ninth, a consonant. < 4756. Riddles.— Selected by Aunt Jerusha, Lawrence: — , , 1. What is it that the poor possess, the rich require, the spendthrift prizes, the miser despises, and we all take with us to our graves. :. 2. What so delicate that to name it you break it, 4757 Decapitations.— By, Phil':— , 1. Behead 1 to distrejs and leave a' weapon. 2. A noise and leave recent. 3. To break arid' leave a tradesman. 4. To bend and leave a birds • ' - 5. To mark and leave a vessel. 5. An animal and leave a fluid. 4758. Hidden Flowers.— Selected by ' Eotnany Rye: — , , My flower garden is laid out in 10 beds, and each one filled with different flowers. In the first I- have a fragrant letter; in the second, to enter into a contract with a metal ; in the third, droves of animals ; in the fourth, all the prismatic colours ; in the fifth, more than one part of the face ; in the sixth, part of a lonely man's overcoat ; in the seventh, a quiet organ of life ; in the eighth, a coloured musical instrument: in the ninth, a porcelain, family of wealth in New York; and in the tenth, k coloured girl. The beds are entirely surrounded by'ablow. Answers to Biddies published March 23. 4732. Enigma.— By John Whyte, Oamaru :— p The' letter Gi 4733. Acrostic.— By 4734. Square.— By ,Kate Myrtle, Waitahuna :— C. White) Lawrence :— A mb* . KOp E Ugly p.OBJSY Nab pees Tom BYBH E clIt HA m5 ' Double 'AtmoSTic. R kgal —By Bomany Eye :— Untrub . -H k A X Stale 'ObmolU A JS" I M I L L ■ 4736. Beheadings.— By James Dippie, Kurl Bush:— Harm, arm ; gold, old ; rye, ye ; lass, ass. 4737. Metagbam.— By Kenneth Wynne :— Vaunt,, daunt, gaunt, haunt, jaunt, taunt. 4733. Hidden British War Vessels.— By Jaok Tar:— Sultan, Eenown, Howe, Superb, Hydra, Hero. 4739. Enigma.— By .Phoebe M. Johnsons— Bice. 4740. Charade.— By Katie Blount :— Mankind. 4741. Transpositions.— By Aunt Jerusha, Law • rence: — ■ ' Determined beforehand we gravely pretend To ask tne opinion advice ot a friend. ' Should he differ from us on any pretence, We. pity his want of good judgment and sense • But if he fall into and follow our plan We really do think he's a sensible man. Correct Answers. Mignonette, Herbert, 4723, 25, 26 (3, 6, 8), 28, 31. 32, 36 (2). 38 (1, 2), 39, 41. •'.*•"" °'» *"• John Whyte, Oamaru, 4723, 24, 25, 26 (4. 5. 6. 8). 27, 28, 30, 32, 33, 34, 35, 36, 37, 38, f 39, 40, 41 . No Name, 4733, 34, 35, 39, 41. Fossicker, Gabriels, 4732, 36 (2), 37, 39. 41. Olive, Lawrence, 4732, 36 (2), 37, 39,41, Aunt Jerusha, Lawrence, 4732, 36, (2), 37, 39, 41. Galen, Teviot, 4738 (2, 4, 5, 6). Another Turn of the Wheel. Ixion writes •— I have often wished that youcould give exercises in mathematics, such as would induce young men who reside in the country to studyfome branch of the science systematically. One advantage of the study of this science is that it necessitates the use of language precise and unambiguous. Of the sad results of using' language of an opposite description we could have no more glaring instance than in the nonsense that has appeared in regard to the wheel. Take the three 1 questions of " Ignoramus.' In hie first he asks us to' " show in figures how much of the mile will be travelled by the mark while it is above the upper line " &c. Perhaps he meant to Bay, travelled by the wheel while the mark is above the upper line." As he puts it, it has no meanfne that 1 cm discover. .Again he says, "the remainder will be between those two points." The remainder of what? Of the mile or or the wheel? Where are the two mints ? Hb hn R mentioned only one— the mark on the tire of the' wheel His second repeats theun meaning statement of the first, and his solutions are to me unintelligible.! His third is, ho wever, plainly put, and I now solve it sc that he can compare his colution with mine;' Let A. B D be the wheel and -A X the road. PJace the mark on the circumference at A. Let A D B make one complete revolution towards K. The wheel will now stand at A? D« B 2 , and the line A A* i» equal to .the circumference of the wheel. While the wheel moves from "A to A3 the E point (mark) A will describe the curve ,A Ai A3 . That curve is a cycloid. The diameter B 13 --. stt 3in = 525. The circumference = 5-25 x 3-1416 = 16-5 nearly.- The number of revolutions in a mile = $£?$> = 320; and forevery revolution of the wheel the mark A traces a cycloid similar and equal to A A' 'A' . But the cyclGid' curve AA I A 3 = '4 times A B (the diameter of the wheel) = b\ x 4 = ,21ft. And since tflere are 320 revolutions in the mile and 320 cycloid curves, the mark A in the mile traverses 2lftX 320 5= :6720ft = 1 mile 21 chains' 18yds. Therefore the mark A tra- . __^^^^_^^____ verses 31 chains 18yds more ■^■■■■■■■■■■■■t than the mile.' Corollary 1, During every revolution of the 1 wheel every point in the circumference describes a' cycloid equal to A •A 1 A a in the same time, ■ therefore the velocity of every point in the circumference- is ,the same. Corollery2. Let each revolution , of the .wheel be made in one second. Then the mark A moy?3 ,from Ato A a in one second. Its velocity therefore = 21. Also the axis 0 moves from oto C 2C 2 in one second ; but C C 3 = -A A 2 't= the' circumference = 16 5. Therefore the velocity of the axis ■==» 16 - 5. Hence velocity of circumference: velocity of axis : : 21; 16*5. v. of circum. 4 -X ,die. 4 4 That is - = - — *—~ * — vel. of axis 31418 X dia. 3-1410 11 ! ' At another time I may refer to the cyclpid and some of its interesting properties. In the nfeantime enough^ ■ , -____1_ When, by reason 'of a cold or from any other cause, the seoretory organs become disordered, they; may be stimulated to & healthy action by the use of Ay era Cathartic PilU. Sold by al) dealers in medicine^