Doublet

“ Doubles, i.e. people who are more or less the exact counterpart of other people, may easily be taken for projections by those who have but little acquaintance with the occult. I, myself, have seen many doubles, but though they be as like as the proverbial two peas, I can tell at a glance whether they be the material or immaterial likeness of those they so exactly resemble. I think there is no doubt that, in a good many instances, doubles have been mistaken for projections, and, of course, vice versâ. ”

“ VANCE.—“Because I have no wish to be doubled up! Moreover, man is like a napkin, the more neatly the housewife doubles him, the more carefully she lays him on the shelf. Neither can a man once doubled know how often he may be doubled. Not only his wife folds him in two, but every child quarters him into a new double, till what was a wide and handsome substance, large enough for anything in reason, dwindles into a pitiful square that will not cover one platter,—all puckers and creases, smaller and smaller with every double, with every double a new crease. ”

“ The effect of doubling, re-doubling, and so on, is that the value of each trick above six is doubled, quadrupled, and so on.
After the trump declaration has been made by the dealer or his partner, their adversaries have the right to double. The eldest hand has the first right. If he does not wish to double, he may ask his partner, "May I lead?" His partner shall answer, "Yes," or "I double."
If either of their adversaries elect to double, the dealer and his partner have the right to re-double. The player who has declared the trump shall have the first right. ”

“ Chapter 13 Paradoxes, indeed, we must investigate from these places, but with regard to making a man trifle, what we mean by trifling we have already declared, but all such arguments will produce this, if it is of no consequence whether a name or a sentence is stated, but the double and the double and the half are the same, if then, the double is the double of the half, it will be the double of the half of the half. ”

“ The truth of this proposition is evident from the equation MV + M'V' = SpQ; for if, say, M and M' are doubled, while V and V' remain the same, the left side of the equation is doubled and therefore the right side must be doubled also. But if the Q's remain unchanged, then evidently all the p's must be doubled, or else if some are less than doubled, others must be enough more than doubled to compensate. ”

“ In this Peal of New Doubles, there are Six-score Changes, which are all double, except only when the whole Hunt leads, and then there is alwayes a single Change made; it has a whole Hunt, a half Hunt, and three Extream Bells. The whole Hunt has a perfect course in hunting up and down, and lies twice before, and twice behind. When the whole Hunt leaves the thirds place hunting up, then each Bell that comes into that place, lies there twice, and then moves up behind ”

“ DOUBLE,
has been invented; it is very simple in principle, and admirably answers the purpose. For instance, if you were to threaten your adversary by a disengagement to the outside, and if, instead of tierce, he parried contre de quarte, the double is then made by your making a second disengagement to the same side as the first, for it will be found that his contre de quarte has replaced the blades in the positions they occupied previous to your disengagement. You will then have an opening, and may finish the attack by the longe. ”

“ One is, that the strength being over the Fourth Hand, he is placed in the worst possible position in the play, and there is more probability of his being doubled than under any other conditions. If he be doubled, it is not likely that his partner can take him out or prove of material assistance, as the double is apt to come in the case in which the partner has passed with a practically trickless hand. ”

“ A (one barouche) and B (six hundred thousand besoms) are severally equal in value to C. When, therefore, A doubles its value, I say that it shall command a double quantity of C. Now, mark how I will express the inverted case. When B doubles its value, I say that it shall command a double quantity of C. But these two cases are very reconcilable with each other. A may command a double quantity of C at the same time that B commands a double quantity of C, without involving any absurdity at all. ”

“ A glance at hands and legs enables us to distinguish one from the other and to spare both the inconvenience of a mistaken identity. The double, like the old men opposite, remains one of the mysteries of the Quarter. ”

“ Pius V., published in 1568, gives three classes of doubles: doubles of the first class, doubles of the second class, and doubles per annum. But, in the revision by Clement VIII. the doubles per annum were again divided into doubles major and doubles minor. In the new Pian Breviary (1913) doubles are divided into Primary Doubles of the First Class, Secondary Doubles of the First Class; Primary Doubles of the Second Class, Secondary Doubles of the Second Class, Primary Doubles Major, Secondary Doubles Major. ”

“ Dossing-ken, a lodging-house.
Dot and go one, a lame or limping man.
Do the high, to walk up and down High Street on Sunday evenings, especially just after Church.—Oxford University.
Double, “to tip (or give) the DOUBLE,” to run away from any person; to double back, turn short round upon one’s pursuers, and so escape, as a hare does.—Sporting.
Double cross, a CROSS in which a man who has engaged to lose breaks his engagement, and “goes straight” at the last moment. ”

“ If the reader will form a series of numbers, setting down any number for the first term of the series, adding to it its double for the second term, and adding to the second term double the first term for the third, and adding double the first term to the third term for the fourth, and so on—in other words, form any increasing arithmetical series with double the first term for the common difference, he will discover that the sum of all the terms is equal to the first term multiplied by the square of the number of terms. ”

“ By multiplying the two numbers together and passing the hard-boiled egg through the sponge and then taking the ... or is it the—Anyway, I'm certain you have to have a piece of elastic up the sleeve ... and I know one of the florins has to—No, it's no good, I can't remember it.
But mention of the two numbers reminds me of a trick which I haven't forgotten. It is a thought-reading illusion, and always creates the maximum of wonderment amongst the audience. ”

“ The numerator, in life, is What We Have. The denominator is What We Think We Ought to Have. Mankind may be divided into two classes: Fools and Wise. The fools are eternally trying to get happiness by multiplying the numerator, the wise divide the denominator. They both come to the same—only one you can do and the other is impossible.
If you have only one thousand dollars and think you ought to have two thousand dollars, the answer is one thousand divided by two thousand, which is one half. ”

“ I am inclined to think that some of the surest vouchers for the material objective substantiality of the world beyond the grave will be found among the phenomena attending the appearance of the double; inasmuch as the double, when most clearly manifesting, comports itself like an earthly being, with earthly necessities ”

“ If one is satisfied with smaller odds, and with better chances of winning, one can place his money between two numbers, or in the middle of four numbers, or on a transversal of three numbers, or on a double transversal of six numbers, or in various other ways. ”

“ By the slow, and often painful, process incident to the extension and development of any mental conception in a mind wholly unused to abstractions, the savage gropes his way onward in his counting from 1, or more probably from 2, to the various higher numbers required to form his scale. The perception of unity offers no difficulty to his mind, though he is conscious at first of the object itself rather than of any idea of number associated with it. The concept of duality, also, is grasped with perfect readiness. ”

“ As all the contre-parades are on the same plan and principle, so are all the doubles. Of course, it is understood that you will make all the movements of the double en suite, and without allowing your adversary’s blade to overtake yours. ”

“ Already the movements of the small stars, which have been called double, on account of their being binary, appear to indicate it; a century at most of precise observations, by verifying their movements of revolution, the ones about the others, will place beyond doubt their reciprocal attractions. ”

“ To do this, consider what the ordinary processes of multiplication and division mean in reference to concrete objects. If we want to give, to 5 boys, 4 apples each, we are said to multiply 4 apples by 5. We cannot multiply 4 apples by 5 boys, for then we should get 20 “boy-apples,” an expression which has no meaning. Or, again, to distribute 20 apples amongst 5 boys, we are not regarded as dividing 20 apples by 5 boys, but as dividing 20 apples by the number 5. The multiplication or division here involves the omission of the unit “boy,” and the operation is incomplete. ”

“ It must also be remembered as an argument against a doubtful double that the Declarer is more apt to make his declaration when doubled, as he is then given more or less accurate information regarding the position of the adverse strength, and can finesse accordingly. A double frequently costs one trick—sometimes even more. ”

“ And of his second part he observes that it is “To excite the world to the study of a little Mathematics, by showing the use of Duplicate Proportions in some of the most weighty of human affairs, which notion a child of 12 years [G] old may learn in an hour.” ”

“ It is bad play to double when you need only an odd trick to win the game. If you double you lessen your chance of winning the trick, and by opening the way to a redouble perhaps give the adversaries the game. ”

“ This is the reason that the theology often varies so from that of the forenoon. But that double is almost as charming as the original. Some of the most well-defined men, who stand out most prominently on the background of history, are in this way stereoscopic men; who owe their distinct relief to the slight differences between the doubles. All this I know. My present suggestion is simply the great extension of the system, so that all public machine-work may be done by it.
But I see I loiter on my story, which is rushing to the plunge. ”

“ If in comparing indetermined quantities of different sorts one with another, any one is said to be as any other directly or inversely, the meaning is, that the former is augmented or diminished in the same ratio with the latter, or with its reciprocal. And if any one is said to be as any other two or more directly or inversely, the meaning is, that the first is augmented or diminished in the ratio compounded of the ratios in which the others, or the reciprocals of the others, are augmented or diminished. ”

“ Revolving the drum in one direction adds, while revolving it in the opposite direction subtracts, and repeated revolutions in either direction give respectively the multiple forms of addition or subtraction which result in either multiplication or division, as the case may be. ”

“ Quantities, and the ratio's of quantities, which in any finite time converge continually to equality, and before the end of that time approach nearer the one to the other than by any given difference, become ultimately equal. ”

“ X. In general it is clear that, if the value of A increases in a duplicate ratio, yet if the value of B increases in a triplicate ratio, so far from commanding a greater quantity of B, A shall command a smaller quantity; and if A continually goes on squaring its former value, yet if B continually goes on cubing its former value, then, though A will continually augment in value, yet the quantity which it will command of B shall be continually less, until at length it shall become practically equal to nothing. ”

“ Examples are numerous in the works of the older masters. Handel's variations on the so-called 'Harmonious Blacksmith' are called 'Doubles' in the old editions. In Couperin's 'Pièces de Clavecin,' Book i, No. 2, may be seen a dance 'Les Canaries' followed by a variation entitled 'Double des Canaries,' and two instances will also be found in Bach's English Suites, the first of which contains a 'Courante avec deux Doubles' and the sixth a sarabande with a double. The term is now entirely obsolete. (2) In combination the word 'double' is used to indicate the octave below ”

“ And as the Real Fugue of the 16th century could only be developed, in its most complex forms, by the aid of Double, Triple, and Quadruple Counterpoint, so, for the development of the more modern Art-form, it was necessary to invent corresponding Orders of Double, Triple, and Quadruple Free Part-writing—that is to say, combinations of two, three, four, or even a greater number of parts, which could be placed in any required order, above, below, or between each other, without injury to the harmony ”

“ But when they have not the same visible place, they are perfectly distinguishable, and we see the object double. We see the object single only, when the eyes are directed in one particular manner; while there are many other ways of directing them within the sphere of our power, by which we see the object double. ”

“ The score is a most important factor, and even, at times, justifies a double with only a fair hand. For instance, suppose the odd trick wins the game for your adversaries, and does not win it for you; if you double and secure the odd trick, the additional count may enable you to win the game on that deal or the next. ”

“ Experience must have shown that the two events are of equally frequent occurrence. Why, in tossing up a half-penny, do we reckon it equally probable that we shall throw cross or pile? Because we know that in any great number of throws, cross and pile are thrown about equally often; and that the more throws we make, the more nearly the equality is perfect. ”