Books Books 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 ... - Page 8
by Euclides - 1814 ## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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... ## The First Six Books: Together with the Eleventh and Twelfth

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... ## Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

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... ## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

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.... ## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

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... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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... ## Christian Baptism: As Delivered to the Churches by the Evangelists and ...

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... ## An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

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... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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... 