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" CB, BA, by twice the rectangle CB, BD. Secondly, Let AD fall without the triangle ABC. Then, because the angle at D is a right angle, the angle ACB is greater than a right angle ; (i. "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Page 60
by Euclides - 1860
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...by twice the rectangle CB, BD. A Secondly, Let AD fall with- A. out the triangle ABC : Then, becaufe the angle at D is a right angle, the angle ACB is greater d than a right angle ; . and therefore the fquare of AB is equal c to the fquares of AC, CB, and twice...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 pages
...by twice the reelangle CB, BD. becondly, Let AD fall with- ' A. out the triangle ABC : Then, becaule the angle at D is a right angle, the angle ACB is greater " than a right angle ; and therefore the fquare of AB is equal c to the fquaies of AC, CB, and twice the rectangle BC, CD:...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...AC, and twice the rectangle CB, BD ; that is, the fquare of AC alone is lefs than the fquares of CB, BA by twice the rectangle CB, BD. Secondly, Let AD fall without the triangle ABC. then becaufe the angle at D is a right angle, the angle ACB is greater d than a right angle ; and therefore...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 444 pages
...BA by twice the reftangle CB, BD. Secondly, " Let AD fail without the triangle ABC : Then, becaufe the angle at D is a right angle, the angle ACB is greater d than a iight angle; and therefore the j ,5 1. fquare of AB is equal e to the fquares of AC, CB, and...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 470 pages
...AC2 is lefs than BC2+ AB2 by 2BC.BD. Secondly, Let AD fall without the triangle ABC * : Then becaufe the angle at D is a right angle, the angle ACB is greater* than a right angle, and AB2 — e AC2+BC2-)-2BC.CD. Add BC2 to each ; then AB2+BC2— AC2+2BC2+2BC.CD. But aii-ib 7. i....
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...AC, and twice the rectangle CB, BD; that is, the fquare of AC alone is lefs than the fquares of CB, BA by twice the rectangle CB, BD. Secondly, Let AD fall without the triangle ABC. then becaufe the angle at D is a right angle, the a,ngle ACB is greater d than a right angle; and therefore...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...BDS+AD2=AB», and CD* +DAZ=CAC*; therefore BC2+ AB2=2BC.BD+AC2; that is, AC2 is less than BC2+ABS by 2BC.BD. Secondly, let AD fall without the triangle ABC* ;...the angle at D is a right angle, the angle ACB is greater11 than a right angle, and AB*=e AC2-)-BC2+2BC.CD. d 16. 1. Add BCz to each ; then ABS+BC2=AC24^BC?£2BC.CD....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...less than the squares of CB, BA by twice the rectangle CB, BD. Secondly, Let AD fall with- - A out the triangle ABC : then, because the angle at D is a right // ' angle, the angle ACB is greater // ' d 16. 1. d ihan a right angle ; and there e 12. 2. fore the square of AB is equal* to the squares...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...that is, the square of AC alone is less than the squares of CB, BA by twice the rectangle CB, BD. A Secondly, Let AD fall without the triangle ABC : then,...angle at D is a right angle, the angle ACB is greater d 16. 1. •'•. than a right angle ; and theree 12. 2. fore the square of AB is equal « to the squares...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 558 pages
...AC, and twice the rectangle CB, BD, that is, the square of AC alone is less than the squares of CB, BA by twice the rectangle CB, BD. Secondly, Let AD...angle at D is a right angle, the angle ACB is greater d than a right angle ; and therefore the square of AB is equal e to the squares of AC, CB,and twice...
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