| Henry Major - Student teachers - 1873 - 580 pages
...of CB, BA, by twice the rectangle CB, BD. Next, let AD fall outside the triangle ABC. Then, because D is a right angle, the angle ACB is greater than a right angle; and the square of AB is equal to the squares ^ of AC, CB, and twice thv, rectangle B~ cr,. BC, CD ;... | |
| Edward Atkins - 1874 - 426 pages
...Because the angle at D is a right angle (Const.), A the angle ACB is greater than a right angle (I. 16) ; Therefore the square on AB is equal to the squares...and CB, and twice the rectangle BC, CD (II. 12). To each of these equals add the square on BC. Therefore the squares on AB and BC are equal to the square... | |
| Euclides - 1874 - 342 pages
...AC, and twice the rectangle CB, BD ; that is, the square on AC alone is less than the squares on CB, BA, by twice the rectangle CB, BD. Secondly. Let AD fall without the triangle ABC. A Then, because the angle at D is a right angle, 1. The angle ACB is greater than a right angle (I.... | |
| Euclides - 1874 - 120 pages
...twice the rectangle AC, CB. But HF, CK, AG, GEmake up the whole figure ADEB, which is the square on AB. Therefore the square on AB is equal to the squares on AC, CB, together with twice the rectangle AC, CB. Therefore, if a straight line, &c. QED COROLLARY. From... | |
| Edward Atkins - 1876 - 130 pages
...Because the angle at D is a right angle (Const.), A the angle ACB is greater than a right angle (I. 16) ; Therefore the square on AB is equal to the squares...and CB, and twice the rectangle BC, CD (II. 12). To each of these equals add the square on BC. Therefore the squares on AB and BC are equal to the square... | |
| Robert Potts - Geometry - 1876 - 446 pages
...AC, and twice the rectai.';le CB, BD: that is, the square on AC alone is less than the squares on CB, BA, by twice the rectangle CB, BD. Secondly, let AD fall without the triangle ABC. B c Then, because the angle at D is a right angle, the angle A CB is greater than a right angle ; (i.... | |
| Moffatt and Paige - 1879 - 506 pages
...that is, the square on AC alone is less than the squares on CB, BA by twice the rectangle CB, B D. Secondly, let AD fall without the triangle ABC. Then, because the angle at D is a right angle, therefore the angle ACB is greater than a right angle (I. 16), therefore the square on AB is equal... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...AC and twice the rectangle CB, BD ; that is, the square on AC alone is less than the squares on CB, BA by twice the rectangle CB, BD. Secondly, let AD...ABC. Then because the angle at D is a right angle, [Construction. the angle ACB is greater than a right angle ; [I. 16. g CD and therefore the square... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 208 pages
...draw CD to bisect AB, and CE perpendicular to AB. Then will the angles ACD, DCE, ECB be all equal. The square on AB is equal to the squares on AC and BC, that is to three times the square on BC and the square on BC, that is to four times the square... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...on AC alone is less than the squares on CB, BA by twice the rectangle CB, BD. A Secondly, let ^Dfall without the triangle ABC. Then because the angle at D is a right angle, [Construction. BOOK II. 13, 14. and therefore the square on AB is equal to the squares on AC, CB, and... | |
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