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" AB; but things which are equal to the same are equal to one another... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 7
av Euclides - 1853
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 sider
...circle BCD, AC is equal ' to AB. and becaufe the point B is the center of the 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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 sider
...centre of the circle BCD, AC is equal c to AB ; and becaufe the point B is the centre of the circle ACE, BC is equal to BA : But it has been proved that CA...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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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 sider
...is the centre of thec -i5ihDecirdc ACE, BC is equal to BA: But it has been proved that CAfin'tion' is equal to AB; therefore CA, CB are each 'of them equal tfo AB ; but things which are equal to the fame are equal to one another,1; therefore CA is equal to...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 sider
...AC « it. Be- is equal c to ABj and becaufe the point B is the centre of the finition. circle ACE, BC is equal to BA : But it has been proved that CA...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 sider
...circle BCD, AC is e- equal c to AB ; and becaufe the point B is the centre of the circle ACE, BC ;se^ual to BA . But it has been proved, that CA is equal to...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 sider
...of the circle BCD, AC is equal ' to AB. and becaufe the point B is the center of the circle ACE, c. BC is equal to BA. but it has been proved that CA...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 sider
...centre of the circle BCD, AC is equal c to AB ; and becaufe the point B is the ceiyre of the circle 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...BCD, AC c 11. Defi- is equal0 to AB ; and because the point B is the centre of the nition. circle ACE, BC is equal to BA : but it has been proved that CA...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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...circle BCD, AC is equal c to AB ; and because the point B is the centre of 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 things which are equal...
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The Monthly Anthology, and Boston Review, Volum 5

David Phineas Adams, William Emerson, Samuel Cooper Thacher - 1808 - 708 sider
...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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