 | John Keill - 1723 - 444 страница
...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 - 444 страница
...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 - 362 страница
...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 - 458 страница
...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 - 492 страница
...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 - 380 страница
...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 - 194 страница
...equivalent 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 - 258 страница
...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 - 272 страница
...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 - 590 страница
...underftand 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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... things equal to one and the fame thing are equal to one another... 
