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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 ... - Side 19
av Euclid, John Playfair - 1826 - 320 sider
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The Musical Standard, Volum 9

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 sider
...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, Del 2

Brian Lasater - 2008 - 600 sider
...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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