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" DL is equal to DG, and DA, DB, parts of them, are equal ; therefore the remainder AL is equal to the remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 8
av Euclides - 1814
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...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 to BG ; and things that are equal to the fame are equal to one another ; therefore the ftraight line AL is equal to BC, Wherefore from the given...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...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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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...AL is equal to the remainder f BG : But it has been fliewn, that BC is f 3equal to BG; wherefore AL and BC are each of them equal to BG ; and things that are equal to the fame are equal to one another ; therefore the ftraight line AL is equal to BC. Wherefore from the given...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...equal to BG ; and tiiings that are equal to the fame, are equal to one another ; therefore the ftraight line AL is equal to BC. Wherefore from the given : point A a ftraight line AL has been drawn equal to the givea ftraight line BC. Which was to be done. PROP. III....
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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 to BG, and things that are equal to the fame are equal to one another ; therefore the ftraight line AL is equal to BC. Wherefore from- the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...wherefore AL and BC are each of them equal to BG ; therefore the straight line AL is equal to BCh. Wherefore, from the given point A a straight line...drawn equal to the given straight line BC. Which was to be done. PROP. III. PROB. f . 1 FROM the greater of two given straight lines to cut off a part equal...
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Christian Baptism: As Delivered to the Churches by the Evangelists and ...

Thomas Baldwin - 1812 - 36 sider
...covenant betwixt God and Abraham equals the covenant of circumeision; for it is a well known axiom that things that are equal to the same are equal to one another." This Algebraic equation, my friend, in pity to you, I will leave under £ simple quotation. 44 You...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volum 2

Charles Butler - 1814
...an inference that two and two, and three and one, are equal to the same (viz. to four) : now, since things that are equal to the same are equal to one another, it follows as a further inference, that two and two are equal to three and one. 42. This example will...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...equal to f3Ar. the remainder* BG; But it has been shown, that BC is equal to BG ; wherefore AL and BG are each of them equal to BG; and things that are...straight line AL has been drawn equal to the given s^raigfrf line , BC. Which was to be done. ai PROP. III. PROB. ^ > FROM the greater of two given straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...is equal to the remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that...drawn equal to the given straight line BC. Which was to be done. PROP. HI. PROB. From the greater of two given straight lines to cut ofl'aparl equal to...
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