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in the spurs rowel deep, and at one bound came day—and the horrible odour of the creature, and crashing through the rhododendrons to within some the remorseless glare of its small bloodshot eye, three or four feet of the place where the child impressed me with the fantastic notion that my stood. The alligator wheeled angrily round, to enemy was something evil beyond the mere furious confront the intruder who dared to come between greed of a wild beast. Yet I grasped the whalehim and his toothsome supper; and my horse, bone whip-handle, and drove in the knife with all driven wild with terror at the sight and smell of the force of an arm that was fast growing exhausted. the monstrous reptile, reared, swerved, and threw Spent, breathless, giddy, I was dragged down, and me, galloping off like a mad creature. I was on in a kneeling attitude, exerted the remains of my my feet in a moment, and had just time to throw waning strength in a stab at the alligator's throat. myself between the alligator and the boy, before The blade broke short off by the handle as it the bloodthirsty jaws could close in the first fatal lodged among the stout scales of the neck! snap. The brute recoiled a little, for alligators Just then I heard a shout, and the tramp of a are cowardly as well as fierce, and they have been horse coming up at full and furious speed. On known to watch for hours in their reedy ambush, they came, the steed foam-flecked and gored by allowing men to pass them uninjured, until they the spur, the rider brandishing high above his could pounce securely on a woman or a child. head the spiral coils of the lasso. I recognised the But the reptile's slow blood had been too much horseman in an instant. It was Juan, the boldest stirred, by the expectation of an easy triumph, to and most dexterous of all that Centaur brotherperinit him to decline the fight, and he crawled hood; and he knew me, and comprehended at a in upon me, uttering the hoarse cry, half-roar, glance the state of affairs. half-whimpering moan, that a cayman gives under ‘Stand back, Englishman-stand back!' he cried the sting of pain or fury.

aloud, and I'll do the rest; Mozos !—El Tigre ! I had my sheath-knife out, a strong double- Mo-zos !' And he whirled the lasso high, spurring edged blade of Barcelona steel, with a cross-handle his frightened horse near and nearer to the spot. and buckthorn haft; but this seemed a poor weapon against such a foe. By a hasty impulse-one of those life-saving thoughts that come upon us at

LOVE MEMORIES. moments of extreme peril, as if they were the Av, lad, it was here that we lingered whisperings of inspiration I tore the blue woollen In the still of that sweet June night, poncho from my shoulders—happily, I had adopted Till the larks were up, and the cloudless east the New Spain style of dress-and, wrapping the

Was flushed with rosy light; mantle around the tough handle of my whalebone

And a red-breast was out on the hawthorn there, riding-whip, I forced it between the alligator's jaws

A-trilling a low sweet lay as he closed with me, while at the same time,

To his mate and the wee brown birds that slept

In the nest on the bending spray. bending forward, I struck hard with my twoedged knife at his white throat, which was com- It was at your grandfather's wedding, lad, paratively unprotected. The first stab told, for That Jenny and I had been, the white streak was soon crimsoned with blood; And I was the bravest of all the lads, but the second stroke failed, for the knife slipped,

And she of the girls was queen; and rattled uselessly on the armour-plates of the

And homeward we walked through the dewy fields, creature's mailed back; and then began a struggle

When the dancing and mirth were o'er ;

And I stood with her dear little hand in mine, for death or life between my terrible antagonist and

Here, under the porch by the door. myself. My strength was nothing to that of the huge reptile, and I felt myself dragged to right There was never a soul astir in the house, and left as if I had been a rat in the gripe of a

But all was as still as could be ; terrier, yet I held on fast to the whalebone handle And even although they had all been awake, of the whip, while the sharp teeth vainly gnashed

They could never have seen her and me;

For the ivy was thick, and we whispered so low, and tore at the spongy wool that clogged them, and I retained my hold in sheer desperation, striking

Oh, they ne'er could have heard us there,

As she gave me a wild red rose from the flowers in with my knife whenever I got a chance, but

She had worn in her beautiful hair. usually baffled by the tenacious armour of my invulnerable adversary.

O the passionate love of life's spring tide! Charlie, a few feet distant, was sobbing piteously,

Though now I am old and gray, at times crying aloud in appeal to Guachos whom

Each low murmured word I remember as well he knew—'Sancho !''Diego !'«El Negro!'—to help

As if it were yesterday :

How I thrilled at the touch of the soft brown locks Mirry Warburton;' for the dear little fellow,

That over her shoulders curled, delivered from his first agony of alarm, seemed

And trembled for joy when I dared to kiss now to think only of my peril. The idea was a

The rosiest lips in the world! good one, although the child's weak voice could not of course reach far. Exerting the full strength Get me a bit of the blossom, lad, of my lungs, I twice shouted forth the well-known

That wreathes on the hawthorn tree,

And leave me here till I dream awhile desert cry when a jaguar is sighted : 'Mozos, a mi!

Of the life that was never to be. - El Tigre!—Mo-zos!'—and I fancied, as I uttered

For the shadowy phantoms of long ago the second call, that I heard a distant answer, like

I see through a mist of tears : a faint echo. But now I had need of all my breath

Your hope lies hid in the coming, lad, and all my muscles, for the infuriated animal with But mine in the bygone, years. which I fought, tearing the cloth of the soft mantle

I to pulp, was gradually getting its grim jaws free. Printed and Published by W. & R. CHAMBERS, 47 Pater Twice, already, had my wrist and arm been grazed

noster Row, LONDON, and 339 High Street, EDINBURCH. by its keen teeth—I bear the white scars to this Also sold by all Booksellers.

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table the product of nine comes to nine. Multiply THE ROMANCE OF ARITHMETIC. by what you like and it gives the same result. SURELY figures owe us whatever little of romance Begin with twice nine, 18; add the digits together, is to be got out of them. Have they not been and 1 and 8 make 9. Three times nine are associated from our earliest childhood with the 27; and 2 and 7 make 9. So it goes on, up taste of tears and slate-pencil ? Have they not to eleven times nine, which gives 99. Very good ; been the invariable cause of one's income being add the digits ; 9 and 9 are 18, and 8 and 1 insufficient to meet one's expenditure? Have they are 9. Going on to any extent, it is imposnot tyrannised over our tastes and enjoyments ? | sible to get rid of figure 9. Take a couple of And has not the sole reason of that gap which, at instances at random. Three hundred and thirtyevery year's end, prevents some of us, in spite of nine times nine are 3051 ; add up the figures and the most laudable intentions, from making both they give 9. Five thousand and seventy-one times ends meet, been the obstinate persistence of two nine are 45639; the sum of these digits is 27 ; and and two in their sullen refusal to make any more 2 and 7 are 9. than four? I am rejoiced to learn that Pythagoras, M. de Maivan found out another queer thing who said something civil about all the other about this number—namely, that if you

take any numbers, had a very poor opinion of figure two. row of figures, and reversing their order, make I am delighted to know that he regarded this a subtraction sum of it, the total is sure to be 9. disreputable figure as the symbol of disorder, of For example: division, of confusion, and inequality ; as a hope

Take 5071 lessly depraved number of evil augury, as an Reverse the figures 1705 exceeding bad principle-nay, as the very Old

3366 = 18, and 1 +8 = 9. Bad Principle himself. I've no patience with figure two, nor with the way in which it gets The same result is obtained if you raise the held up to public esteem in connection with what numbers so changed to their squares or cubes. is supposed to be the very satisfactory proposition Starting with 62, begin the sum over again. By that two and two make four. I cannot regard it reversing the digits we get 26, which, subtracted

Whatever is good for anything from 62, leaves 36, or 3 + 6 = 9. The squares of ought to improve and increase ; and if this boasted 26 and 62 are, respectively, 676 and 3844. Subpair of twos had any genuine enterprise at all tract one from the other and you get 3168 = 18, about them they would have made at least six and 1+8 = 9. So with the cubes of 26 and 62, by this time-in which case I might withoạt which are 17576 and 238328. Subtracted, they difficulty have learned what a balance meant in leave 220752 = 18, and 1 + 8 = 9. my banker's book. As it is, they have not merely The powerfully be-nine influence of this figure is wasted their opportunities, but done me a personal exemplified in another way. Write down any injury. Besides, it is my opinion that three and number, as, for example, 7549132, subtract thereone make four in a manner quite as successful, from the sum of its digits, and no matter what and very much less obtrusive.

figures you start with, the digits of the product The most romantic of all numbers is figure nine, will always come to 9. because it can't be multiplied away or got rid of

7549132 = sum of digits 31. anyhow. Whatever you do, it is as sure to turn up

31 again as was the body of Eugene Aram's victim.

7549101 One remarkable property of this figure (said to

= sum of digits 27, and 2 + 7 = 9. have been first discovered by W. Green, who died A very good puzzle has been based on this prinin 1794) is, that all through the multiplication | ciple, as follows : Get another person to write down

in that light.

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a horizontal row of figures, as many as he likes, many more, half as many more, and a third as without letting you see what he is about from many more as there are now in the basket, with beginning to end of the whole performance. He five more added to that, the number would by so is then to reckon up the sum of the digits, and much exceed threescore as it now falls short of it. subtract that from his row of figures. When he The second knight, getting awfully bewildered, has done this, bid him cross out any figure he speculated wildly on forty-five. pleases from the product, and tell you how much Not so,' said this royal ready reckoner. “But if the figures add up, without the crossed-out figure. there were a third as many more, half as many From the numbers so given you will be able to more, and a sixth as many more as there are now, tell what figure he has crossed out, by only bearing there would be in my basket as many more than in mind the fact learned above-namely, that if no forty-five as there now are under that number. figure at all had been crossed out, the result would Prince Wladomir then decided the number of necessarily be 9 or a multiple of 9. Hence you plums to be thirty; and by so doing obtained this will see that the crossed-out figure must needs be invaluable housekeeper for his wife. The Laly the one required to bring the sum given to the next Libussa thereupon counted him out fifteen plums multiple of 9. Supposing, for instance, he gives and one more, when there remained fourteen. To his result at 37, you may be sure that he has the second knight, she gave seven and one more, robbed the product of 8, that being the figure and six remained. To the first knight, she gave needed to restore the total to the next multiple of half of these and three more ; and the basket was enamely, 45. His sum would stand as under: empty. The discarded lovers went off with their 405678237 = sum of digits 42.

heads exceedingly giddy, and their mouths full of 42

plums. 405678195 = 37.

Double Position, or the Rule of False, by which

problems of this sort are worked, ought to demolish There is only one case in which you can be at the commonplace about two wrongs not making a fault, and that is in the event of a multiple of 9 right. Two wrongs do make a right, figure-atively being returned to you as a product. Of course, speaking, at all events. Starting with two wilfully then, you will know that either a 9 or a 0 must false numbers, you work each out to its natural have been struck out. Had the 9 been struck out conclusion. Then, taking the sum of your iniin the above instance, the result would have been quities as compared with the falsehoods with 36 : had it been the 0, the product would have been which you started, you have only to multiply them 45. Both being multiples of 9, it would be impos- crosswise to get terms which will bring you sible to tell with certainty whether the missing straight to the truth. To be more precise, after figure were 9 or 0; but a good guess may generally the cross-multiplication, if the errors are alikebe formed, because, if the figures appear suspiciously that is, both greater or both less than the number low in proportion to the time taken to tot up the you want—take their difference for a divisor, and sum, you may speculate that your product has the difference of their products for a dividend. If most likely sustained the loss of the highest unlike, take their sum for a divisor, and the sum number.

of their products for a dividend. The quotient That is a clever Persian story about Mohammed will be the answer. This is good arithmetic

, and, Ali and the camels, and though it will be familiar for those who can receive it, not bad philosophy. to many of my readers, they will scarcely be sorry There is an enormous self-righting power about to be reminded of it. A Persian died, leaving error, and if we could only manage the crossseventeen camels to be divided among his three multiplication properly, we might get some sursons in the following proportions: the eldest to prising results. have half, the second a third, and the youngest a The number 37 has this strange peculiarity: ninth. Of course, camels can't be divided into frac- multiplied by 3 or any multiple of 3 up to 37, it tions, so, in despair, the brothers submitted their gives three figures ali alike.

Thus, three times difficulty to Mohammed Ali. “Nothing easier!' | 37 will be 111. Twice three times (6 times) 37 said the wise Ali : ‘I'll lend you another camel to will be 222; three times three times (9 times) 37 make eighteen, and now divide them yourselves.' gives three threes; four times three times (19 The consequence was, each brother got from one- times) 37, three fours ; and so on. eighth to one-half of a camel more than he was I will wind up for the present with a rather entitled to, and Ali received his camel back again ; barefaced story of how a Dublin chambermaid is the eldest brother getting nine camels, the second said to have got twelve commercial travellers into six, and the third two.

eleven bedrooms, and yet to have given each a Johann August Musæus, one of the most popular separate room. Here we have the eleven bedGerman story-writers of the last century, in his rooms : story of Libussa, makes the Lady of Bohemia put forth the following problem to her three lovers,



2 3 4 5 6 7 8 9 10 offering her hand and throne as the prize for a correct solution. “I have here in my basket,' said the Lady Libussa, 'a gift of plums for each of you, “Now,' said she, if two of you gentlemen will picked from my garden. One of you shall have go into No. 1 bedroom, and wait there a few ħalf and one more, the second shall again have half minutes, I'll find a spare room for one of you as and one more, and the third shall again have half soon as I've shewn the others to their rooms.' and three more. This will empty my basket. Well, now, having thus bestowed two gentleNow tell me how many plums are in it ?' men in No. 1, she put the third in No. 2, the fourth The first knight made a random guess at three in No. 3, the fifth in No. 4, the sixth in No.5, the

seventh in No. 6, the eightà in No. 7, the ninth

in *No,' replied the lady. “But if there were as No. 8, the tenth in No. 9, and the eleventh in No.

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10. She then came back to No. 1, where you will smiled (for he knew that she was smiling, since she remember she had left the twelfth gentleman along had her face towards him), he had smiled too and with the first, and said : “I've now accommodated kissed his hand. He leaned upon it now, and all the rest, and have still a room to spare, so, if gazed upon the vacant fields with an aching heart. one of you will please step into No. 11, you will But why had it not ached before, when absent find it empty. Thus the twelfth man got his bed- from her? And why had it not yearned, on his room. Of course, there is a hole in the saucepan return to England, to clasp her in his arms--as somewhere ; but I leave the reader to determine it did now? Why had his love smouldered so low exactly where the fallacy is, with just a warning that he had thought it cold and burnt out? And to think twice before deciding as to which, if any, now, when it was too late, why, merely at the sight of the travellers was the odd man out.'

of her, had it flamed up anew, so fiercely that it threatened to consume him? Had he deceived

himself, and loving her all along, persuaded himself A WOMAN'S VENGEANCE. -being tempted so to do by material advantage

that he no longer loved her ? No! If he had come

back yesterday, and found her, exactly as he had "SORROW

may endure for a night, but joy cometh left her, “a simple maiden in her flower,' he could in the morning,

' is a saw of great authority and have borne to look upon her with remorseful eyes, acceptance, and yet we suspect that human experi- perhaps, but with steadfast ones. He had made ence

, if appealed to generally, would reverse that up his mind to do so. He had been bound by no saying. Surely it is at night, after some sort of promise to do otherwise ; she herself had told him meal, or drink, or even a pipe of tobacco, that our that what had happened was likely to happen ; spirits fight against despondency, and we make the necessity (induced by his own act, but still necesbest of a bad job,' or, at all events, look forward sity) had compelled him to the course he had to forgetting our troubles in sleep ; whereas, on the taken. Of course, he had been inconsistent : other hand, when the blank day breaks, the full woman is weak, illogical, and (very) contrasense of our calamity is borne in upon us, and, like dictory, but there is no bound to the inconsistency Miss Bella Wilfer, we wish that we were dead. of man. The most faithful forget their allegiance; At all events, on the morrow of his return to his the bravest become cowards. Picton himself was old home, Arthur Tyndall awoke far more dispirited convicted of participation in an act which men and displeased with himself than he had yet been, of ordinary courage would die rather than have and early as it was, arose and dressed himself. committed. Arthur, to do him justice, had given For to lie in one's bed in the broad daylight, to Jenny credit for the same readiness to forget and think and think of the ruin that we have brought to forgive—to forget him, that is, and to forgive upon ourselves, or on the wrong we have done to herself—as he had manifested towards her ; or if others, is of all things the most intolerable. that should not have been the case-if even she

Within doors, no one was stirring, but without, should still entertain some tenderness for himthe ancient gardener was already sweeping one of she was such a very sensible girl (this was how the gravel-walks, and bade his young master 'good- the poor wretch had argued), that so soon as she morning' heartily.

heard of his engagement to another, she would at Foreign parts have not altered your ways of once dismiss him from her heart—as a traitor, life

, I see, Master Arthur," said he approvingly; perhaps ; yet if so, so much the better for her. But for you was always an early riser, like your poor what if she thought him a traitor, and still had father before ye.?

not dismissed him from her heart ! Yes ; he had been an early riser, and at Swans- Her air had been grave and cold; she had dale especially, for a certain reason, which the sight refused to hear what he had to say for himself : of Old Giles recalled to his mind with a sharp pain. she had treated the idea of their meeting at the Often and often had he come upon the old man old trysting-place—though only to hear his excuses when, with rod and basket, he had gone forth from --with indignation and disdain; but he could not the Hall at that very hour--not to fish, but to pre- forget, how, stung with the studied carelessness of tend to fish from the river-side path that led to his first salutation : “Why, Jenny, how you are the Welcome. It was not unlikely even that Giles grown !' she had answered, as it seemed in spite knew that he had done so, for, though no one in of herself : ‘Yes; grown out of all knowledge.' the village was aware of how far matters once had Throughout the rest of their brief interview, she gone between Master Arthur' and Jenny, there had been cold as snow; but that one sentence of was a shrewd suspicion abroad that they were not reproach, forced from her, doubtless, by the sense of indifferent to one another. How unchanged seemed insult which his words had occasioned, still rang in every object that met his gaze since those palmy his ears. And how beautiful, and like a gentledays of adolescence and first love ; unsettled and woman, she had grown, and how, in comparison doubtful days, indeed, but days of promise! How with her, had all other gentlewomen, such as his gloriously the tall trees sparkled with dew! How aunt, or Blanche (he would not even to himself say freshly rose the incense from the flower-beds ! In or ‘Helen '), dwindled into insignificance. She had the winding shrubbery—'wilderness,' it used to be been always far cleverer than himself, he knew; but called, but, to his travelled eyes, accustomed to the what a divine wisdom seemed now to dwell in those wild luxuriance of nature, it seemed garden like glorious eyes, yet not unmixed with pity either, the rest-how joyously sang the birds ! There was when she denied his prayer—such pity as the the little wicket-gate to which she had once been angel might have felt whose duty it had been to so rash as to accompany him on his way back, and expel our first parents from the Gates of Paradise ! where they had parted with a whispered farewell : And yet she was a woman too, for bad she he had leaned upon it, and watched her trip home- not trembled and changed colour when he had ward along the dewy fields, and when she turned and denounced her refusal to let him write to her as

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having been the cause of their estrangement, and the ground; so rapidly, that, half-way through the did not those signs betoken that she still loved copse, he came upon the narrow wooden bridge, him! He did not so much still love her (though and had his foot upon it before he perceived that all the old passion was revived within him), as love it was already occupied by some one coming from her anew, more fondly, more fiercely, than he had the river-side. He looked up hastily, and lo, it ever loved before ; and in a few weeks he was was Jenny Renn! pledged to wed, not her, but another!

She stood for an instant in the middle of the The river-side path, that led to the lock as well as bridge, undecided whether to retreat or advance, to the inn, lay before him, and he regarded it with and with her hand upon the side-rail—a picture wistful eyes. Should he take that, or the upper one, and a poem in one-then came on slowly towards which led to the village churchyard, wherein stood him. his father's tomb, to visit which had been the "Jenny, Jenny !' cried Arthur eagerly, holding object he had proposed to himself in going forth out both his hands. that morning ? Something within him seemed to 'My name is Alice Renn, Mr Tyndall,' was her whisper that at whichever decision he should cold reply. arrive it would be final. As he hesitated, there 'I thought that, seeing me from the river, you fell on his ear a splash of a pole in the water, and might have come to meet me,' said he implorthere glided by up-stream a punt, with a fisherman ingly. in it, bound, doubtless, for the osier-nets that hung No. I was going to the church to practise on in the back-water behind the lock. This trifling the organ, for I am the organist now.' circunstance decided him. If he was to meet The organist! Then he would hear her on Jenny, it was certainly advisable that there should Sunday, and every Sunday, from his pew, where be no possible witness to their interview ; and he he would be sitting with Helen. He would know struck at once into the path that conducted to the she was behind the little curtain, looking down church. It was the nearest way to the village, between its folds upon himself with scorn, upon likewise, for all the water-side parishioners, run- his bride with pity. ning straight up through the meadows, and dipping 'I have behaved very, very ill to you, Jenny' midway into a hazel coppice, in which was a rustic he began. bridge that spanned a little tributary of the river, She stopped him with a quiet motion of her but little frequented save on Sundays. The last hand. 'I do not say so, Mr Tyndall ; but if it is time he had trodden it, it had been by his father's so, let me tell you this, that you behave worse in side to church, on the eve of his own departure for speaking of it. She was very pale, but her voice abroad. They had not been so cordial as father was firm and resolute. As she stood erect upon and son should be; there were faults on both the bridge, from which he had withdrawn, to let sides ; but now that the old man was beyond the her pass, she was taller than he; and he felt she

; reach of all amends, they seemed to have been on was his superior every way. Arthur's only. And yet a few minutes ago he had 'I will not confess my baseness, since you forbid been debating in his mind as to whether this little me to do so, Jenny,' said he dejectedly ; . but do pilgrimage of piety should not be postponed, for- not suppose that I am not punished for it. If you well, for what? For a mad attempt to throw him- knew all, even though you could not love me any self in the way of temptation ; for an appeal to longer, you must needs pity me.' Jenny's feelings, that would be worse than hope- If any misfortune has befallen you, I am less, since, even if it should have succeeded, nothing indeed sorry,' returned she'very sorry. could have come of it but shame and ruin. He No misfortune, for I have brought it all upon could not shut her from his thoughts on the way, myself—no misfortune, since, compared with that or even when upon the hill-top he stood beside his of which I may not speak, all'ills that may happen father's grave. Why had the old man been so stern, to me are of small amount; but, for one thing, I that confidence had never existed between them ? am a ruined man.' How far nearer would he have now seemed to him 'I thought so !' gasped the girl ; not, however, had he been encouraged to disclose the secret wish like one who hears the worst. There was a certain of his young heart, even had it been denied him ; tone of relief, nay, almost of exultation, in her þut now death had divided them indeed. If Jack ejaculation. 'I thought so!' It seemed to say : “I had died, and been laid here, who had been privy thought that nothing but dire necessity could have to that early hope, and to almost every thought compelled him to such conduct.'—'Ruined, Mr Tynand action of his life, how differently he would have dall!' she continued ; that is bad news indeed. A felt; a portion of his very self would then seem to few weeks, however, as I understand, will retrieve be lying yonder, whereas, though this was his own your fallen fortunes. Her woman's heart could flesh and blood, and the author of his being, it did not refrain from giving him that stab; then pernot seem so. Suppose his father had given him ceiving she had wounded him to the quick, it permission to marry Jenny, and instead of becom- melted within her. Forgive me, sir; I did not ing an exile from home and country, he had done mean to pain you ; far from it. Heaven knows I so, and, filled with love and gratitude, had been his wish nought but good to you-to you and yours, son indeed, with little children to climb the old But no more meetings such as this, I pray you.'

I man's knee, and—since a lonesome life is hurtful Here she sobbed most pitifully; and he sprang to health as well as heart-to win him, perhaps, forward, as he would have done five years ago, to from the very grave itself. This thought of what comfort her. might have been was too much to bear, and he She thrust him from her with some force, and turned away almost abruptly from the graveyard, pointed towards the Hall. Leave me, sir. As and began to retrace his steps. Quick motion you are a gentleman, I entreat you to leave me.' suited with his mood, and the way being down He obeyed her, but unwillingly ; slowly, linger: hill, he advanced very rapidly, with eyes fixed on ingly, he went on his way, with many a louk


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