TN square, in which the inner square of nine cells is in itself magic. And the mmm = ~~ | present writer has shown how this Bellefonte, Pa., December 7, 1906. ' number may at once be doubled by m—— | merely converting every bordered square by a simple rule into a non- PUZZLES IN FIGURES bricedone. seen made to S———— construct a magic square by what is MANY UNSOLVED MYSTERIES IN THE | called a “knight's tour” over the chess WORLD OF NUMBERS. board, numbering each square that the knight visits in suvecession, 1, 2, 3, 4, a ete., and It has been done with the ex- Little Things the Conditions of ception of the two diagonals, which so Which a Child Can Understand, | go, 1,0 baffled all efforts. But it is Though the Greatest Minds Cannot | ,¢ origin that it cannot be done. Master Magie Suyunres. Here Is one more unsolved problem Probing into the secrets of nature is | in numbers: We all know that a square a passion with all men, only we select | number is a number multiplied by it- different lines of research. Men have | self, but a cube number is one multi- spent long lives in such attempts as | plied twice by itself—thus, 8 is the to turn the baser metals into gold, to | cube of 2, 27 the cube of 3, and so on. discover perpetual motion, to find a | Now, some whole numbers are the sum cure for certain malignant diseases, to | of two whole cubes—as 35 Is the sum navigate the air. Some great mys- | of the cubes of 2 and 3—others are the teries have after centuries of patient | Sum of two fractional cubes—as 43 is labor been completely solved, others | the sum of the cubes of V and 7-2— are at present under investigation, while the whole numbers cannot be ex- while many have been demonstrated to | Pressed as the sum of two cubes In any be quite impossible of solution. way whatever. It is possible to say of Let us examine a few cases of un- | 40¥ number from 1 to 100 whether it is solved mysteries in the world of num- | °F is not the sum of two cubes, except bers—little things the conditions of 66. Nobody in the world can answer which a child can understand, though erybody has heard the remark, “It is as hard as squaring the circle,” though many people have a very hazy notion venerable puzzle. Again, we can never measure exact- ground, where it can never see a drop of water except at rain time and leave “Pop.” ——————— ge - - Slogge Kuew Why. New Advertisements, Attorneys-at-Law. WAYS OF THE TOAD. : Soboolmaster—**Now, Bloggs, you clear | =——————————> ——— TF nr SE PY eason ’ . MEYER—Attorney-at-Law Rooms Some of the Oddities of This Peculiar | '¥ 1nGerstand the reason why I'm going to D* 7 ones J Ooh Orders Bxonaage Batetoneer agai Creature Si (son of the middle-weight cham- It is remarkable that the toad, lov- pion sir. It’s because you're a Ing water as it does, should wander | heavy.weight and I'm i ey ” away from watery regions to dry VET ERIN ARY SURGEON. i B. SPANGLER. —A’ « hey at Law. Practice (Da in all the courts. Consultation in Eng nq German. Office in the Eagle building BA a eee 2E wd Graduate of she surers] of Looduu -. TAYLOR — Attorney sd Counsello hae Jatmanent ly Sooated PALACE ry eyed Go ar Les, Belleante wi a prolen he % floor, Bellefonte, Pu. Al Kind of leg sa, Peds Sones rd oy peas ep | Uae nd to prompt. | 44 i» aur will a. answered prompily Kee WOODRING fr iii y ATTORNEY-AT-LAW Bellefonte, Pa. 51-1-1y Practices in all the couris. Busy Grass Widow. its water rights to the undisputed pos- session of its ranal neighbor the frog. “Wha is a grass widow ?”’ How the toad loves water must be| ‘A grass widow, my son, is one who known to every garden lover. When- ; makes hay while the snu shines.” ever there is a shower the creature Hu “Yes, my son.” v HEINLE.—At{orney at Law, Bellef, leuves its Sool retreat wider the yidga JOR THE LADIES. —Miss Jenni Mor EN ios Bowe Suite efonis or shed and stands as far as ore gan in her new room on Spring St., lately | Court "House All business will re- legs will let it, erect in the rain, ap- used as ofices by Dr. Locke, is now ready to ceive prompt uctention. 20 16 parently enjoying to the utmost the CASTORLA clectricity, weatinenta. of tho scalp, iaotar mas | Y 1. WETZEL— Attorney and Counsellor at sliowet bth, For Infants and Children. EEE of neal und Molter | secand floor. AM kinds o of Iogal business attended Whenever they are near the water a Jov3uie » lage gollection of reel, an Hota | aocoud Sop. Sllkindsetiog English or German. at breeding tie they Seposii long, | The Kind You Have Always Bought able to supply ou witha) all kinda of toliet articles EE , a : slimy strings of eggs, an e young creams, x toilet * 50.16 y= eys-a toad has to go through the tadpole Bears the Signature of racts and all of Hudnuts preparations. G" Law, Block, Bellefonte, Pa. Sue- #10 Orvis, wer & Orvis, Practice in all the courts. Consultailons in English or Ser. stage in common with his brother frog. CHAS. H. FLETCHER. But when they are wholly excluded by F You Ww ANT 10 SELL maa. distance from the water they seem to have the power of being viviparous, or bringing forth their young alive. | = M. KEICHLINE ATTORNEY. AT-LAW,.— n all the courts. Consultation ‘English OS nL the Office south of Court All ional business will receive I — standi Harber, sawed timber ay ties, and chemical! wood. house In the water fertilization is effected Travelers Guide. prompt attention. Bialye in the same manner as in fishes, but Ie Jou an, 1 BUY TT —— " — the method in the land lif? career ie ENTRAL RAILROAD OF PENNA. " - - gi Physicians. ab not known. About all that is known lumber of any kind worked or 1n Ee is that confined toads are found with | _ S°ndensed Time Table erfective Dec. 3, 190 the rough, , White te Pine: Chestnut ¥. S.GLENK, M. D. Phyician i little toads, no larger than house flies, les, Vashinigton Red Millwork, Doors i Seas College ly in numbers the diagonal of a square. for this number. Can you solve these | about them after a time, and in walled Raat sow Stat} |Raae en Gurl; Plastering Lath, Brisk, Fie | sommes gardens and places far removed from | No 1/No No 3 |No 6 No 4No2 P. B. CRIDER & SON Dentists. problems ?—London Answers. i S18-1y Beltetonte. Ba. the greatest minds cannot master. Ev- water little toads, no larger than peas, = om = . . wandering around on their own re- |; 10/16 40| 45 BELLEFO i ails ule. w— R. H. W. TATE, Dentist, office in‘the 15:th The Bartle lauides. p- | Sources and which could never have | 721 5 wh care “Nigh... s El Bush roads, Betiajanie, Pa "or ex. ot 8 ua ae By ee tn been tadpoles, are within common ex- | 7 3816 5 ior HEGLA PARK. Ts ool a7 881 perience. "All work a, bid ye and prices of what it means. It is this: If you | centric spheres® A physician says perience. 1a laf. kles....| 8 43| 4 48] 9 13 | Tenaonable 17. have a circular plece of paper, how are | Such is the case. The solid nucleus he ! we “ 3 1 ...Hublersburg... A x iu 9 o AAAI you to cut out another plece in the | Subposes to be between 3,000 and 7,000 MARY CAMPBELL. 7 43/7 13] 3 20/0 Kitsanyorer 8 31] 3 32 5 03 Meat Markets. form of a square that shall contain | Miles in diameter, and this is surround- cv— T47ir7 18) 3 221. Huston fs 32 4 35] 9 00 | QAVE IN exactly the same area? Well, it can- | ®1 bY 4 liquid substratum, outside of | yy, yyvsie Who Was the Original of | 51/7 5 3 26/clamar... 182 4m 854| YOUR MEAT BILLS. ET THE not be done with exactitude, though we which is the crust, variously estimat- “Highland Mary.” T57 7% 332 sSiding.| 5 22! 4 25| 8 51 G ed at 70 to 200 miles in thickness. “ yw | 801} 734] 3 36. Muckeyville.... £3 18] 4 20| 8 46 aT} o.yemson why you should use poor can get an answer near enough for all The original of “Highland Mary” | sol 7 30! 3 49! Cedar eo exorbitant for tender. ge 1 purposes, because it is not More than two centuries ago a similar was Mary Campbell, a highland lassle | & A 7 42) 3 48]... Alaa : 10! i is : h juicy steaks. Good Good meat abundant here. BEST MEATS. praciiea’ p theory, including the slow rotation of 8 18} 7 47] 3 50... MILL HALL... | 8 05/14 07/48 33 catile sheep and calves You save nothing by buying, , thin possible to say in exact numbers what 1he Sager solid syhere ou» different who was a servant at Castle Mont- A I 30 save Suthing DF bayiog, Door , wi hom B beca - - F io ue Druportion, or ames 19 | axis from that of the entive globe, wys | SOME, With "Whim Buss Dosame de. A ey a " 0: WE BUY ONLY THE BEST : IARGEST, PATTEST, GATTLE, Tove imps. On. co | 0 th chins in th ears magne: | i, To ee he advo th vs | 13}; iF wirrour 155 $518 mamma ome ogons| Stamm to be impossible. Only cranks now “| “Will ye go to the Indies, my Mary?’ & Reading +) DM prices that you have Jo ing y pi waste their time in trying to solve this im The xis ot the von Migr and many others. In a note to one of | 3 680... PHILA. cone. 2/1130] elsewhere for very poor. uo higher than poorer meats are else- thougit to lisve been okiginally that of | yi; poems on Mary, Butns says: “ASE | 10 10 soot... NEW YORE. 900 ~——GIVE US A TRIAL— ! always have the entire globe, and to the change of | "tty long time of the most ardent (Via Phila.) ——DRESSED POULTRY,— its course was attributed the deluge. , . | 1 mia. m.jArr X m.[p. Mm. | andsee if you don'tsave in the long run and Gane in season, and any kinds of geod The earth's internal heat, it is now reciprocal feeling we met by appoint tWeek Days have better M Poultry and Game (in sea. If you have a window pane exactly a foot on each side, there is the distance from corner to corner staring you In the face, yet you can never say in ex- act numbers what is the length of that diagonal. The novice will at once sug- gest that we might take our diagonal first, say an exact foot, and then con- struct our square. Yes, you can do this, but then you can never say exact- ly what is the length of the side. You can have it which way you like, but you cannot have it both ways. But let us take a few puzzles that have not been proved to be impossible, but which nevertheless have not been solved. They will give the reader some fascinating employment during spare hours, if he happens to be fond of fig- uring. First, then, take the round table problem. Nine persons are stopping at a boarding house, and they all sit down together to dinner on twenty-eight suc- cessive nights at a round table. The rule of the house is that no person shall on any two occasions have the two same neighbors. How is it to be done, if at all? Here is another poser. If we write down the number, composed of seven- teen ones—11,111,111,111,111,111 — and ask you to find some number—other than 1 or the number itself—that will divide it without remainder, the an- swer will give you considerable labor to discover. We will, however, say at once that the only numbers that will divide it are 2,071,723 and 5,363,222.- 357. Now add two more ones to the number, and we cannot tell you wheth- er it can be exactly divided by any number or not, for nobody knows. If You can find such a divisor you will have done something that nobody else in the world has yet succeeded in do- ing. And we cannot say that it is im- possible. Every one kuows what a magic square is. Divide a square into nine divisions, or cells, and then place the numbers 1 to 9, one number in each cell, so that they shall add up fifteen in every column, every row and in each of the two diagonals. It is quite easy, and there is only one way of doing It, because we do not count as different the arrangements obtained by merely turn- ing around the square and reflecting it in a mirror. Now, if we wish to make a magic square of the sixteen numbers, 1 to 16, there are just 880 different ways of do- ing it, again not counting reversals and reflections. This has been finally prov- ed of recent years. But how many magic squares can be formed with the twenty-five numbers, 1 to 25, nobody knows, and we shall have to extend our knowledge in certain directions be- fore we can hope to solve this puzzle. But it is Startling & to 9 fina that oxuctly pointed out, may be accounted for by the friction of the different rotating bodies. Bad Importations. Englishmen introduced the rabbit to P Australia, where it ruined vast areas of valuable land. Weasels sent to correct the mistake found ground birds good eating and let the rabbits alone. Scots- men bestowed the thistle upon New Zealand and then wished they hadn't. A pretty water weed of which English- men are fond was transplanted to New Zealand and throve so that it dams broad rivers. The mongoose sent to Jamaica to kill off the cane rats ex- terminated them and developed a fine liking for poultry, “it Sulisx to a T.” The clause, “It suits to a T,” mean- Ing it fits exactly, Is as old as the familiar instrument, the T square or T rule (so called from its resemblance to ment on the second Sunday of May. in a sequestered spot by the banks of the Ayr, where we spent a day in tak- ing a farewell before she should em- bark for the west highlands to arrange BELLEFONTE ROENTRAL RAIL- meats you want, Tar My Suor, P. L. BEEZLR. . High Street. Bellefonte son) han have been foreithed you GETTIG & KREAMER Bush House Block | 48-84-17 NEW YO DD Lv “1 Via Tamaqua) i WALLACE H. GEPHART, Bezreronts, Pa. General Superintendent. 44-18 Fine job Printing. matters among her friends for our pro- | == I m—— —— jected change of life. At the close of ganodule to By elect Monday, Hay _— ws wing he see | SLT | oI JUNE JoB PRINTING she had scarce landed when she was | Ne-8 s Bust Route 19 2 us, Moetls west, seized with a malignant fever, which | 7. wu. ry id Soin to se Pal, Minncapelis or she 0A SPECIALTY——o0 i i : 300 6 30 west see your ticket wes ne 1 ve Lor pre ey 12 § iy | Chicago reads via The Pioneer Limited on MY In % 07 | the Chicago, Milwaukee & St. Paul Rail- WATCHMAN OFFICE. The love which Burns felt for Mary | 217 6 03 —th te hich Jette Campbell appears to have been deeper hay R Jon's gual Wikich yun a — ’ A at fer. 3H {5k os Standard and compartment sleepers with mn any he ever fe fore or a 3 32 5 so | longer, higherand wider berths. Leaves | There is no style of work, trom the cheapes Years later, when he was married and 3 38 5 45 | Union Station, Chicago, 6.30 p. m. Jails 4 Dodger” to the finest hn, ves pi | 16 £2 Le a which breathe the soul of tender mel- on ge " i ™ JOHN R. POTT, that we can not do othe Juom satisfactory man ancholy.—London Tit-Bits. t | 17 35 Pine verove Mis 7 | he Distriot Passenger Agent, Prices consistent with fhe class of work. Call om F. H. THOMAS, Supt. Room D, Park Building, Pittsburg. | or communicate with this office. Faubles Great Clothing House. the letter T), used by mechanics and draftsmen for making angles true and for obtaining perpendiculars. The ex- pression was in common use in the time of Dr. Johnson, who is quoted by Boswell as saying of Wharburton, “You see they'd have fitted’ him to a TT" The Changing Frenchman. There was a time when having to cross the frontiers of his native land was regarded by a Frenchman as the greatest hardship he could undergo. Today he is the rival of the Anglo- Saxon where love of travel and adven- ture are concerned.—Paris Figaro. Thackeray's Apology. Thackeray once wrote in a note to a friend, alluding to an incident oceca- sioned by one of his articles in Punch: “I thought over the confounded matter in the railroad and wrote instantly on arriving here a letter of contrition and apology to Henry Taylor for having made what I see now was a flippant and offensive allusion to Mrs, Taylor, I am glad I have done it. I am glad that so many people whom I have been thinking bigoted and unfair and un- just toward me have been right and that I have been wrong, and my mind is an immense deal easier.” A Great Idea. “My new play Is sure to make a hit,” said the great actress. “It gives me ar opportunity to display twenty new gowns,” “Gracious!” exclaimed her friend. “How many acts?’ “Omly four, but in one of them the scene's at a dressmaker’s.”’—Philadel phia Press. IF YOU WISH TO BECOME, 4 Chemist, i Teacher, n Engineer, Lawyer, An Electrician, A Scientic Farmer, 4 Puprician, short, If you wish to secure a training that will FHE PENNSYLVANIA STATE COLLEGE ‘OFFERS EXCEPTIONAL ADVANTAGES, TUITION IS FREE IN ALL COURSES. Colleges & Schoots. a I ——— i ——— a ——————— a —— fit you well for any honorable pursun tn life, nisa a much more range of FARING KFFECT IN SEPT. 1900, the General Courses have been extensively modified, so as to tur- isn h varied Lear, an hereictore. includ. THE PALL SBSCION anens September 15th, Js. men examination radon specimen exa on, PoL a0 or Catalogue giving ul ntormation repsecting courses of 1) electives, after the Freshman ing History ; the ish, French, ish, Latin and tures ; Paychology; ad Bantient Science. These cou are especially - St Teaching Sri genera Hose whe ted oy either the most thorough training for the Profession . courees in Chemioy, Civ, Fie i, action), Mechanical and Mining Engin caring the very no difficulty | in securing and h ding positions, YOUNG NONER wnoaerocic ratvee vers 3p dificult se Young Men. Languages BN THE REGISTRAR, State College, Centre County, Pa TELL US YOUR CHRISTMAS TROUBLES We are prepared to relieve you of all the little worries of ...CHRISTMAS TIME... SHEER A store full of all the newest, luxuries and necessities in Men’s Wear from the most mod- erate priced TO the very FINEST. Ev i Man or Boy uses you will find with us an you want it. We ow you will be pleased wb bs ou will see here, and have no trouble aie to find just what you were Looking FOR From the Shoes to the Hat FOR MAN OR BOY. . WE ARE READY, LET US SHOW YOU. M. Fauble ®& Son. SRG a RRO a
Significant historical Pennsylvania newspapers