 | Robert Dodsley - 1758 - 586 ページ
...Triangles, each equal to a Square ivhofe Side is three Inches, are alfo equal between themfelues. But Things equal to one and the fame Thing, are equal to one antther : Therefore alfo thefe Triangles, &c. are equal between tbemfeh'cs. This Obfcrvation will be... | |
 | James Beattie - 1771 - 588 ページ
...clouds. But who will pretend to prove a mathematical axiom, That a whole is greater than a part, or, That things equal to one and the fame thing are equal to one another ? Every proof mufl be clearer and more evident than the thing to be proved. Gan you then affume any... | |
 | John Mair - 1772 - 376 ページ
...equidiftant means, means, will, by Theorem II. be equal to the double of the inferred middle term ; and things equal. to one and the fame thing are equal to one another. COROLLARIES. 1. Hence, to an extreme and two means given, the other extreme, or fourth proportional,... | |
 | Euclid - 1776 - 318 ページ
...forwards : And, III. That a circle may be defcribed about any center, with any diftance. AXIOMS, L THINGS equal to one and the fame thing are equal to one another. II. If equal things ar.e added to equal things, the wholes will be e^ qual. III. If from equal things... | |
 | James Beattie - 1776 - 504 ページ
...fubje<& CHAPTER I. Of the perception of Truth in generaL ON hearing thefe propofitions,—I exift, Things equal to one and the fame thing are equal to one another, The fun rofe to»-, day, There is a God, Ingratitude ought to be blamed and punifhed, The three angles... | |
 | Euclid - 1776 - 326 ページ
...forwards: And, That a circle may be defcribed about any center, with any diftance. AXIOMS. I. HINGS equal to one and the fame thing are equal to one another. II. If equal things are added to equal things, the wholes will be equal. i\ HI. If from equal things... | |
 | George Gregory - 1796 - 646 ページ
...of the fenfes, where the variety of afTociations affords a greater fcope for error. Thus, '« that things equal to one and the fame thing are equal to one another;" " that nothing material exifts without a caufe " " that, therefore, - this world has a firft caufe,"... | |
 | Colin Macfarquhar, George Gleig - 1797 - 422 ページ
...jquare whofe Ji tie is three inches t are alfo equal between tbemfel-oes. This argument therefore, " Things equal to one and the fame thing, are equal " to one another: " Therefore thefe two triangles, each equal to the " fquare of a line of three inches, are equal be«... | |
 | Daniel Fenning - 1802 - 274 ページ
...divid, ing by 12, x will be equal to 8, as per Axiom 3. AXIOM 5. Thofe numbers or quantities that are equal to one and the fame thing, are equal to one another ; that is, fuppofe f, or 6 — c, or 5 e -f- 6, were either of them = to 144, then are they alfo equal... | |
 | James Maitland Earl of Lauderdale - 1804 - 506 ページ
...luckily already procured a leg of the fame meep in exchange for the commodity they refpectively poflened, they might then difcover the relative value of the...recourfe to this eafy mode of deciding the N portion pdrtion of wheat that ought to be parted with for the acquifition of a given quantity of beer. The... | |
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... two things equal to one and the fame thing are equal to one another; but as it would probably happen, that the farmer and brewer had never... 
