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" Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Page 9
by Euclid, John Playfair - 1795 - 400 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...equal . therefore ^ remainder AL is equal to the remainder f BG. but it has been fhewn that BC is equal to BG ; wherefore AL and BC are each of them equal...ftraight line AL is equal to BC. Wherefore from the given pojnt A a ftraight line AL has been drawn equal to the given ftraight line BC. Which was to be done....
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...therefore the remainder AL is equal to the remainder f BG i But it has been fhewn, that BC is equal to BG ; wherefore AL and BC are each of them equal...the given ftraight line BC. Which was to be done. PROP. III. PRO B. .OM the greater of two given ftraight lines to cut off a part equal to the lefs....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...f. 3. Ax. the remainder AL is equal to the remainder f BG. but it has been fiiewn that BC is equal to BG ; wherefore AL and BC are each of them equal...is equal to BC. Wherefore from the given point A a ftraightline ALhas been drawn equal to the given ftraight line BC. Which was to be done. F PROP. III....
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...remainder AL is equal to the remainder f I But it has been fhewn, that BC is equal to BG ; wherefore and BC are each of them equal to BG ; and things that equal to the fame are equal to one another ; therefore ftraight line AL is equal to BC. Wherefore from...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...been Ihewn, that BC is equal to BG ; wherefore AT, and BC are epch of them equal to BG ; and tiiings that are equal to the fame, are equal to one another...point A a ftraight line AL has been drawn equal to the givea ftraight line BC. Which was to be done. PROP. III. PROB. <ROM the greater of two given ftraight...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...therefore 3. Ax, the remainder AL is equal to the remainder f BG. but it has been fhewn that BC is equal to BG ; wherefore AL and BC are each of them equal...the given ftraight line BC. Which was to be done. PROP. III. PRO B. 'ROM the greater of. two given ftraight lines to «ut off a part equal to the lefs....
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Merrill's Letters

Daniel Merrill - Baptism - 1805 - 354 pages
...covenant betwixt God and Abraham equal, the covenant of ctrcumcifion : for it is a well known axiom, that things that are equal to the fame are equal to one another.' This algebraic equation, my friead, in pity to you, t will. leave under a fimple quotation." Some of...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...therefore the remainder AL is equal to the remainder f BG : but it has been shown, that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same ave equal to one another ; therefore the straight line AL is equal to BC. Wherefore from the given...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...therefore the remainder AL is equal to the remainder f BG: but it has been shown, that BC is equal to BG; wherefore AL and BC are each of them equal to BG; and thinge that are equal to the same are equal to one another; therefore the straight lme AL is equal...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...shown, that BC is them, are equal; therefore the remainder AL is equal to equal to BG; wherefore'AL and BC are each of them equal to BG; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore from the given...
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