Nor did any other ancient people carry the numeration as far as did the Hindus.
In the introduction it is stated that this science of reckoning was due to a philosopher named Algus, whence the name algorismus,[546] and in the section on numeration reference is made to the Arabs as the inventors of this science.
Thus, in order to give an imposing and apparently solid basis to their astrological doctrines, the Chaldæans invented such a numeration as would permit really intricate computations to be made.
I beseech the intercession with thee of thy four chief Prophets, who foretold thy Incarnation, Daniel, and Jeremiah, and Isaiah, and Ezechiel.
The Ancient Church of Ireland: A few Remarks on Dr.
Next, it is Irish, because, to the best of its humble ability, it is intended to serve the Catholic Church of our native country.
The nine choirs of blessed spirits (5) are those mentioned by Saint Gregory (Hom.
The science of Theology being supernational in its nature, although at a given date it may flourish more in one country than another, can never become the special property of any.
The systems adopted for numeration and for notation do not always agree with one another; nor do they always correspond with the idea which the numbers subjectively present.
Although numerationand notation are both ostensibly on the denary system, they are not always exactly parallel.
The use of the denary scale in notation is due to its use in numeration (S 18); this again being due (as exemplified by the use of the word digit) to the primitive use of the fingers for counting.
The numeration was in the denary scale, so that it did not agree absolutely with the notation.
Names might be given to the successive powers of ten, up to the point to whichnumeration of ones is likely to go.
The hands tyned, tened, closed, or shut in, signified ten; for there numeration closed.
All numeration was, doubtless, originally performed by the fingers; for the number of the fingers is still the utmost extent of its signification.
According to the method of numeration (which is followed also in the United States), the number expressed by a unit with twenty-one ciphers annexed.
According to the French method of numeration (which is followed also in the United States), the number expressed by a unit with twenty-four ciphers annexed.
According to the French method of numeration (which method is followed also in the United States) the number expressed by a unit with twenty-seven ciphers annexed.
In either of which, if it trips, the whole business of numbering will be disturbed, and there will remain only the confused idea of multitude, but the ideas necessary to distinct numeration will not be attained to.
The Nahua system of numeration was very simple and comprehensive, there being no limit to the numbers that could be expressed by it.
Numeration unites in one sign many things contained in a general idea, but this sign has, at the same time, its own distinctive character.
Numeration implies a permanent comparison, or the recollection of it.
Numeration is only an aggregation of formulas; and the more easy these are of mutual transformation with a slight modification, the more perfect will be the numeration.
Numeration is a repetition of operations; and the art of facilitating it consists in instituting signs which recall to our memory what we have done.
Not only are the first distinct ideas of number co-ordinate with ideas of likeness and equality, but the first efforts at numeration displayed the same relationship.
The idea of changing the base of numeration will appear to most persons as absurd, and its realization as impossible; yet the probability is, it will be done.
The second is thenumeration of things by personal parts, as fingers, hands, etc.
Was it not this reply that led the French commission to extend the use of the present base from numeration to gradation also, under the delusive hope of producing a perfectly homogeneous system, that would be practical also?
Consequently, the numeration and notation best suited to commerce will be those which agree best with such a system.
At first sight, the universal use of decimal numeration seems to be an argument in its favor.
Decimal numeration grew out of the fact that each person has ten fingers and thumbs, without reference to science, art, or commerce.
Admitting binary gradation to be proper to weights, measures, and coins, it follows that a corresponding base of numeration and notation must be provided, as that best suited to commerce.
In attempting to ascertain these, it will be necessary to consider the uses of numeration and of notation.
The changes I make affect the numeration after No.
The transpositions thus effected, together with the repeatedly broken and sometimes blank pagination of the original, made it obviously impossible to indicate in this edition the former numeration of the pages.
Where some leaves of a book are numbered and others not, if the reference is to the printed numeration this should be stated.
After the size and sequence of the gatherings has been stated, the total number of leaves should be noted, with a mention of any numeration of them given in the book.
Printed leaf numeration is found as early as 1470, and became common about ten years later.
