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" If equals be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. "
The philosophical and mathematical commentaries of Proclus ... on the first ... - Page 11
by Proclus (Diadochus.) - 1789
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...the wholes are equal. m. If equals be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequah VI. . Things which are double of the fame, are equal to one another. VII. Things which are...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...taken from equals, the remainders are equal. If equals be added to unequals, the wholes are unequal. If equals be taken from unequals, the remainders are...double of the fame, are equal to one another. VII. Things which are halves of the fame, are equal to one another. VIII. Magnitudes which coincide with...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...the wholes are equal. HI. If equals be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals...double of the fame, are equal to one another. VII. Things which are halves of the fame, are equal to one another. vm. Magnitudes which coincide with one...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 pages
...to unequals, the wholes are unequal. IF equals be taken from iinequals, the remainders are unequal. Things which are double of the fame, are equal to one another. VII. Things which are halves of the fame, are equal to one another. VIII. Magnitudes which coincide with...
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Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

John Playfair - Trigonometry - 1795 - 444 pages
...the wholes are equal. III. If equals be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals...be taken from unequals, the remainders are unequal. i vr. VI. Book I. Things which are double of the fame, arsequal to one another. VII. Things which are...
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 118 pages
...tounequals, the wholes are unequals. 5If equals be taken from unequals, the remainders are unequals. 6. Things which are double of the fame, are equal to one another. 7Things which are halves of the fame, are equal to one another. 8. Magnitudes which coincide with one...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...from equals, the remainders are equal. If equals be added to unequals, the wholes are unequal. T • If equals be taken from unequals, the remainders are...are double of the fame, are equal to one another. VJ1. Things which are halves of the fame, are equal to one another, VIII. Magnitudes which coincide...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...wholes are equal. III. If equals be taken from equals, the remainders are equal. x IV. If equals be added to unequals, the wholes are unequal. V. If equals...Things which are double of the fame, are equal to one anotherw VII. Things which are halves of the fame, are equal to one another. VIII. Magnitudes, which...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 470 pages
...the wholes are equal. Til. If equals be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are unequal, V. If equals be taken from unequals, the remainders are-unequal. VI. VI. . BooklThings which are doubles of the lame thing, are equal to one another. VII....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...equals, the wholes are equal. III. If equals be taken from equals, the remainders are equal. If equals be added to unequals, the wholes are unequal. V. If equals...remainders are unequal. VI. Things which are double of the same are equal to one another. VII. Things which are halves of the same are equal to one another. VIII....
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