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" But things which are equal to the same are equal to one another (Ax. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Pagina 272
di Charles Butler - 1814
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 pagine
...circle ACE, c. i 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 - 534 pagine
...is the centre of 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 ...

Euclid, John Playfair - 1795 - 462 pagine
...centre of the 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 - 374 pagine
...is the centre of 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 - 530 pagine
...the center of 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 ...

John Playfair, Euclid - 1804 - 468 pagine
...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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pagine
...the c 15. Decircle 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...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 - 320 pagine
...centre of the 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, William Emerson, Samuel Cooper Thacher - 1808 - 708 pagine
...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 - 554 pagine
...the circle c is. 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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