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" But things which are equal to the same are equal to one another... "
Easy Introduction to Mathematics - Pagina 240
door Charles Butler - 1814
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pagina’s
...jih DeBC is equal to BA. but it has been proved that CA is equal to finition. AB; therefore CA, CB are each of them equal to AB. but things which are equal to the fame are equal to one anotherd; therefore d. ,ft AX>CA is equal to CB. wherefore CA, AB, BC are equal...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pagina’s
...the circle ACE, BC is equal to BA : But it has been proved that CA is equal to AB ; therefore CA, CB are each of them equal to AB; but things which are equal to the fame are equal to one another d ; therefore CA is equal to CB ; wherefore CA, AB, BC are equal to one...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 pagina’s
...finition. circle ACE, BC is equal to BA : But it has been proved that CA is equal to AB ; therefore CA, CB are each of them equal to AB ; but things which are equal to the feme are a i. Axi. equal to one another d ; therefore CA is equal to GB ; whereem. fore CA, ABi BC...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 pagina’s
...the circle ACE, BC ;se^ual to BA . But it has been proved, that CA is equal to AB ; therefore CA, CB are each of them equal to AB ; but things which are equal to the fame, are equal to one d tft Axi. another d ; therefore CA is equal to CB ; wherefore CA, AB, om. BC,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...the circle ACE, c. BC is equal to BA. but it has been proved that CA is equal to AB; therefore CA, CB are each of them equal to AB. but things which are equal to the fame are equal to one another d; therefore d. CA is equal to CB. wherefore CA, AB, BC are equal to...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 pagina’s
...ACE, BC" is equal to BA : But it has been proved that CA is equal to AB ; therefore CA, CB ;ire rtcli of them equal to AB ; but things which are equal to the fame are equal to one another'1 ; therefore CA is equal to CB ; wherefore CA, AB, BC are equal to one...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...ACL', BC is equal to BA: but it has been proved that CA finition. is equal to AB ; therefore CA, CB are each of them equal to AB ; but things which are equal to the same are equal to one Another d ; therefore CA is equal to CB ; wherefore CA, AB, BC d 1st Axare equal to one another; and the triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pagina’s
...nition. circle ACE, BC is equal to BA : but it has been proved that CA is equal to AB ; therefore CA, CB are each of them equal to AB ; but things which are equal to the same are d 1. A xi- equal to one another"1 ; therefore CA is equal to CB ; wherefore CA, AB, BC are equal to...
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The Monthly Anthology, and Boston Review, Volume 5

David Phineas Adams, Samuel Cooper Thacher - 1808
...confound our two articles. " In the Celtic" says he, " the article an signifies the and that." But as things, which are equal to the same, are equal to one another, it is easy to prove, since an means that, and //•.- means that, that an and the are in the English...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 pagina’s
...Defi. ACE, BC is equal to BA: but it has been proved that CA is equal nitionto AB; therefore CA, CB are each of them equal to AB; but things which are equal to the same are equal to one another;d*! 1st Axitherefore CA is equal to CB; wherefore CA, AB, BC are equal omto one another; and...
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