| Robert Simson - Trigonometry - 1775 - 534 pages
...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... | |
| Euclid - 1781 - 550 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... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...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.... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...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... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...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... | |
| Thomas Baldwin - Baptism - 1812 - 370 pages
...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... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...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... | |
| Euclides - 1816 - 588 pages
...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... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...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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