 | Robert Simson - Trigonometry - 1762 - 488 pages
...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... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...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... | |
 | Euclid - 1781 - 552 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...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,... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...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... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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... | |
 | David Phineas Adams, William Emerson, Samuel Cooper Thacher - 1808 - 708 pages
...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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AB; but things which are equal to the same are equal to one another... 
