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" ... things equal to one and the fame thing are equal to one another... "
Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ... - Page 169
by John Mair - 1772
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...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 »...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...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...
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The Young Trigonometer's Compleat Guide: Being the Mystery and ..., Volume 1

Benjamin Martin - Mathematics - 1736 - 362 pages
...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....
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - Algebra - 1738 - 458 pages
...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....
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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

John Ward - Mathematics - 1747 - 492 pages
...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,...
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The Elements of Logick: In Four Books ... Design'd Particularly for Young ...

William Duncan - Logic - 1748 - 380 pages
...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...
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The British Palladium: Or, Annual Miscellany of Literature and ..., Volume 5

Almanacs, English - 1755 - 194 pages
...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...
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The Young Arithmetician and Algebraist's Companion: In Two Parts. The First ...

Richard Carr (Arithmetician) - Algebra - 1751 - 258 pages
...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,...
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The Young Algebraist's Companion: Or, A New & Easy Guide to Algebra ...

Daniel Fenning - Algebra - 1751 - 272 pages
...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...
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The preceptor: containing a general course of education [ed. by R. Dodsley].

Preceptor - 1758 - 590 pages
...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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