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" DL is equal to DG, and DA, DB, parts of them, are equal ; therefore the remainder AL is equal to the remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Página 8
por Euclides - 1814
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Passiontide Sermons

Henry Parry Liddon - 1891 - 299 páginas
...mayest lie " ? " Thou mayest do murder " ? We cannot, any more than we can conceive His denying that things that are equal to the same are equal to one another. The very mind and soul which He has given us bears indelibly impressed on it His Moral Truth, just...
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The Writings of Alexander Campbell: Selections Chiefly from The Millennial ...

Alexander Campbell, W. A. Morris - 1896 - 621 páginas
...effect of the Spirit mean the same thing, for water means the Spirit and the effect of the Spirit; and things that are equal to the same are equal to one another! What does not the phrase, "born of water," mean i. It is equal to bom of fire, born of like as of fire,...
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Square Pegs

Adeline Dutton Train Whitney - 1899 - 507 páginas
...and Miss Anne Soforth. In the same way that she reached up, why might she not reach down and along? Things that are equal to the same are equal to one another. Anchored to this axiom she swung out on a long cable. She drove about merrily everywhere and had a...
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The Philosophical Works of Francis Bacon

1905
...whereas in distributive, if unequals be not given to unequals there is the greatest injustice 2 . Again " things that are equal to the same are equal to one another," is likewise a rule of mathematics ; but it is at the same time so potent in logic as to be the basis...
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The Musical Standard, Volumen9

1875
...appearance of accuracy. Now I know, and Mr. Ellis knows, " there is no effect without a cause," and that " things that are equal to the same are equal to one another." What are the facts of the case? Mr. Ellis, presumably on the authority of a pseudo-scientific work...
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Quarterly Statement - Palestine Exploration Fund

Palestine Exploration Fund - 1894
...stronghold of Zion, and the stronghold, distinctly stated to be or to be called the City of David ; and as things that are equal to the same are equal to one another, it follows mathematically (and is not assumed) that Zion is equal to, or the same as, the stronghold...
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Nineteenth-Century English: Stability and Change

Merja Kytö, Mats Rydén, Erik Smitterberg - 2006
...stairs? (Trials, Charles Angus, 1800-30, p. 56) (52) He replied, 'There are three postulates: firstly, things that are equal to the same are equal to one another; secondly, things that are greater than the same are greater than one another; and thirdly, things that...
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William Wilberforce

Kevin Belmonte - 2009 - 352 páginas
...omitted in the text) was "showing at times much thought - [he] used ... in play yesterday Euclid's axiom, Things that are equal to the same are equal to one another.' " During the sessions of Parliament, Wilberforce was often so busy that he could see little of his...
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The Dream of the West, Pt II, Parte2

Brian Lasater - 2008 - 600 páginas
...to the same thing are equal to one another. Therefore AL is equal to BC. THE LIGHT OF THE OCCIDENT Wherefore from the given point A a straight line AL...has been drawn equal to the given straight line BC. Proposition 5. Theorem The Bridge-of- Asses 1. Given that AABC is an isosceles triangle, and AB = AC....
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