| John Keill - 1723 - 364 ページ
...that BC is equal to CG ; wherefore both AL and BC . are each of them equal to C G. But Things that are **equal to one and the fame Thing, are equal to one another** ; and therefore likewife AL is equal to B C. Whence the Right Line AL is put at the given Point »... | |
| Euclid, John Keill - 1733 - 393 ページ
...that BC is equal to CG ; wherefore both AL and BC are each of them equal to C G. But Things that are **equal to one and the fame Thing, are equal to one another** ; and therefore likewife AL is equal to BC. Whence the Right Line AL is put at the given Point A, equal... | |
| Benjamin Martin - 1736 - 328 ページ
...Quantities be divided by Equal Quanties, their Quotients will be Equal. Axiom V. Thofe Things which are **Equal to one and the fame Thing, are Equal to one another.** Axiom VI. Thole Things which are Double, Triple, &c. of the fame or Equal Things, are Equal among themfelves.... | |
| Philip Ronayne - 1738 - 421 ページ
...Quantities be Divided by equal Quantities, the Quotients will be equal. 5. Thofe Quantities that are **equal to one and the fame thing, are equal to one another.** 6. Every Whole is equal to all its Parts taken together. PART PART I. Of whole &uantitte& CHAP. II.... | |
| John Ward - 1747 - 480 ページ
...Quantities be divided by equal Quantities, their Quotients will be equal. 5. Thofe Quantities, that are **equal to one and the fame Thing, are equal to one another.** Note, / advife the Learner to get thefe five dxiems perfeflly by Heart. Thefe Things being premifed,... | |
| William Duncan - 1748 - 363 ページ
...to a Square wbofe Side is three Inches, are alfo equal between themfefaes. This Argument therefore, **Things equal to one and the fame Thing are equal to one another** ; Therefore thofe two Triangles, each equal to the Square of a Line of three Inches, are equal between... | |
| 1755
...Predicates of the fame Subjeft, it will follow, Some Mm are Deceivers ; fimilar to the Axiom, that **Things equal to one and the fame Thing, are equal to one another.** V/e alfo fay, i. A -Afán is an Animal. ?.. A Horfeis an Animal. Whence 3. A Man is a Hurfc', would... | |
| Richard Carr (Arithmetician) - 1751 - 240 ページ
...be equal. Fourth, If equal Things be divided by equal Things, their Quotients will be equal. Fifth, **Things equal to one and the fame Thing, are equal to one another.** ALGEBRA IS a fpecious Arithmetic, or an Arithmetic in Letters -, it confins of Addition, Subtraction,... | |
| Daniel Fenning - 1751 - 238 ページ
...dividing by 12, *• will be equal to 8, as per Axiom 3. AXIOM 5. Thofe Numbers or Quantities that are **equal to one and th'e fame Thing, are equal to one another** ; that is, fuppofe *, or b — c, or 5? + 6, were either pf them — to 144, then are they alfo equal... | |
| Preceptor - 1758
...any felf-evident fpecuP--Jluiaia. lathe Truth ; as that the whole is greater than its Pa\tf : That **Things equal to one and the fame Thing, are equal to one another. But** a felf-evident practical Propoiition is what they call a Pojlulate. Such are thofe of Euclid; that... | |
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