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" BG; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pàgina 19
per Euclid, John Playfair - 1826 - 320 pàgines
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Square Pegs

Adeline Dutton Train Whitney - 1899 - 522 pàgines
...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 - 958 pàgines
...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, Volum 9

1875 - 418 pàgines
...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 - 378 pàgines
...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 - 256 pàgines
...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: A Hero for Humanity

Kevin Belmonte - 2009 - 355 pàgines
...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, Part 2

Brian Lasater - 2008 - 600 pàgines
...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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