In his histories proper the special motive for embellishment disappears, but the habit of inaccuracy remains.
He has also himself suffered much from the inaccuracy of copyists.
Thus the inaccuracy in taking the measured diameter as the datum is practically of the same order as the inaccuracy in taking the grass-plot to be circular.
(iii) In dealing with cases where actual measurements are involved, the error (i) due to inaccuracy of the formula will often be negligible in comparison with the error (ii) due to inaccuracy of the data.
For this reason, formulae which will only give approximate results are usually classed together as rules, whether the inaccuracy lies (as in the case of Huygens's rule) in the formula itself, or (as in the case of Simpson's rule) in its application to the data.
This limits the accuracy of the result; and we can therefore replace the figure by another figure which coincides with it approximately, provided that the further inaccuracy so introduced is comparable with the original inaccuracies of measurement.
The relation between the inaccuracy of the data and the additional inaccuracy due to substitution of another figure is similar to the relation between the inaccuracies in mensuration of a figure which is supposed to be of a given form (§ 20).
In the case of mathematical functions certain conditions of continuity are satisfied, and the extent to which the value given by any particular formula differs from the true value may be estimated within certain limits; the main inaccuracy, in favourable cases, being due to the fact that the numerical data are not absolutely exact.
In physical and mechanical applications, where concrete measurements are involved, there is, as pointed out in the preceding section, the additional inaccuracy due to want of exactness in the figure itself.
Since h = H/m, the inaccuracy in taking C I as the area varies as I /m2.
Since the revenue-earning power of a supply station depends entirely upon its meters, inaccuracy in meter record is a serious matter.
His analytical skill enabled him to demonstrate the inaccuracy of the researches by which Berthollet attempted to support the opposite view, and to show among other things that some of the compounds which Berthollet treated as oxides were in reality hydrates containing chemically combined water, and the upshot was that by 1808 he had fully vindicated his position.
Accordingly, while it has nothing of Froude's carelessness and inaccuracy, it has nothing of his charm of style.
Its limitations are found in the inaccuracy of quotation of the writers, and often in the corrupt condition of their text.
But if the inaccuracy of the fragment in this important respect is admitted the historical character of the whole episode breaks down and it is probably to be regarded as an apocryphal elaboration of Matt.
He was learned, as learning was understood among the Italian clergy of the 18th century; but he was destitute of critical faculty, and the inaccuracy of his quotations is proverbial.
It has been conjectured that the "estuary" here mentioned refers to the Baltic, the existence of which as a separate sea was unknown to all ancient geographers; but the obscure manner in which it is indicated, as well as the inaccuracy of the statements concerning the place from whence the amber was actually derived, both point to the sort of hearsay accounts which Pytheas might readily have picked up on the shores of the German Ocean, without proceeding farther than the mouth of the Ems, Weser or Elbe, which last is supposed by Ukert to have been the limit of his voyage in this direction.
Inaccuracy in detail and artifice in the arrangement of isolated peoples are inevitable in such a scheme.
The dissection of the first book, for instance, turns partly on a chronological inaccuracy which might well escape the poet as well as his hearers.
Unfortunately, the return of age is amongst the less satisfactory results of a general enumeration, though its inaccuracy, when spread over millions of persons, is susceptible of correction mathematically, to an extent to make it serve its purpose in the directions above indicated.
In order to minimize the results of such inaccuracy, the return of ages is compiled in aggregates of five or ten years and then redistributed over single years by the method of differences.
The fullness and inaccuracy of detail which are a feature of the book suggest that Jason's information was derived from the recollections of eye-witnesses orally communicated.
Rawlinson on 1 and 2 Macc. in the Speaker's Commentary 1888 (containing much useful matter, but marred by too frequent inaccuracy); O.
This representation acquires a special importance if the object be micrometrically measured, for an inaccuracy in focusing does not involve an alteration of the size of the image.
A second error can arise through the inaccuracy of the eyepiece micrometer, and also in the case of a screw micrometer through periodic faults of the screw, and through dead motion.
The first volume was attacked in 1733 for unfairness and inaccuracy by Isaac Maddox, afterwards bishop of St Asaph and of Worcester, to whom Neal replied in a pamphlet, A Review of the principal facts objected to in the first volume of the History of the Puritans; and the remaining volumes by Zachary Grey (1688-1766), to whom the author made no reply.
1887), the inaccuracy of which is clearly demonstrated by J.
The well-known sentence of Carlyle, that it is "as far as possible from meriting its high reputation," is in strictness justified, for all Thiers's historical work is marked by extreme inaccuracy, by prejudice which passes the limits of accidental unfairness, and by an almost complete indifference to the merits as compared with the successes of his heroes.
There are, however, two sources of inaccuracy to be guarded against, and these are made the most of by the writers above referred to, and are supposed altogether to invalidate results which are otherwise opposed to their views.
The haziness and inaccuracy of his topography make it clear that he did not attempt to familiarize himself with the actual scenes of events even that took place in Italy.
His principal faults are his carelessness and inaccuracy in matters of chronology, his lack of artistic skill in the presentation of his material, his desultory method of treatment, and his failure to look below the surface and grasp the real significance and vital connexion of events.
But even men like Roger Bacon, who deplored the inaccuracy of texts, had worked out no general method to aF ply in their restoration.
In fine, the interpolation of a Median Darius must be regarded as the most glaring historical inaccuracy of the author of Daniel.
Newton regarded the discrepancy between the results as a proof of the inaccuracy of his conjecture, and " laid aside at that time any further thoughts of this matter."
In spite of inaccuracy and the lack of critical capacity in dealing with their authorities both ancient and modern, the Cambridge Platonists exercised a valuable influence on English theology and thought in general.
They are called by the French (with their usual inaccuracy of pronunciation and spelling) "chotts"; the word should really be the Arabic shat, an Arab term for a broad canal, an estuary or lake.