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" 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. "
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 13
by George Roberts Perkins - 1856 - 235 pages
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...equals, the remainders are equal. If equals be added to unequals, the wholes are unequal. If equals be taken from unequals, the remainders are unequal. VI. 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....
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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 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 fame, are equal to one another. VII. Things which are halves of the fame, are equal to one another....
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The philosophical and mathematical commentaries of Proclus ... on the first ...

Proclus (Diadochus.) - 1789 - 476 pages
...remainders are equal. IV. If equals are 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 fame, are equal to one another. VII. COMMENTARIES OF PROCLUS. 13 VII. Things which are halves of the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

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

Robert Simson - Trigonometry - 1804
...remainders are equal. x 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 fame, are equal to one anotherw VII. Things which are halves of the fame, are equal to one another....
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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 remainders are equal. 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. VII. Things which are halves of the same are equal to one another. VIII....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...remainders are equal. IV. If equals be added to unequals, the wholes are unequal V. If equals betaken from unequals, the 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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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...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. VII. Things which are halves of the same, are equal to one another. VIII....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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. VII. Things which are halves of the same, are equal to one another. VIII....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...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. VII. Things which are halves of the same, are equal to one another. VIII....
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