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" AB; but things which are equal to the same are equal to one another... "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Side 4
av Royal Military Academy, Woolwich - 1853
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 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 - 520 sider
...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 is...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 - 520 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 - 400 sider
...« 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 is...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 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
...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 is...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 sider
...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 - 311 sider
...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 is...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 - 518 sider
...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...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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The Monthly Anthology, and Boston Review, Volum 5

David Phineas Adams, William Emerson, 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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