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" But things which are equal to the same are equal to one another... "
Easy Introduction to Mathematics - Σελίδα 240
των Charles Butler - 1814
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...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...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 σελίδες
...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...

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...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,...

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...

Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...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...

The Monthly Anthology, and Boston Review, Τόμος 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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...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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