 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...squares on CB, BA, by twice the rectangle CB, BD. Secondly, let AD faU without the triangle ABC. r ' BCD Then, because the angle at D is a right angle, the angle A CB is greater than a right angle ; (i. 16.) and therefore the square on AB is equal to the squares... | |
 | Euclides - 1862 - 172 pages
...squares of CB, BA, by twice the rectangle CB, BB. Secondlu, Let AD fall without the triangle ABC. A Then, because the angle at D is a right angle, the...than a right angle ; (i. 16) and therefore the square of AB is equal to the squares of AC, CB, and twice ti,e rectangle BC, CD; (Ii. 12) to each of these... | |
 | Euclides - 1862 - 140 pages
...rectangle AC . CB. 21. But HF, CK, AG, GE, make up the whole figure ADEB, which is the square on AB. 22. Therefore the square on AB is equal to the squares on AC and CB, and twice the rectangle AC . CB. Conclusion. — Therefore, if a straight line, &c. QED Corollary. — It follows from this... | |
 | Euclides - 1864 - 262 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...because the angle at D is a right angle, the angle A CB is greater than a right angle ; (l. 16.) and therefore the square on AB is equal to the squares... | |
 | Euclides - 1864 - 448 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. B Then, because the angle at D is a right angle, the angle ACB is greater than a right angle ; (I.... | |
 | Robert Potts - 1865 - 528 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...therefore the square on AB is equal to the squares on AC, CB, and twice the rectangle BC, CD; (n. 12.) to each of these equals add the square on BC; therefore... | |
 | Euclides - 1865 - 402 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...than a right angle ; (i. 16) and therefore the square of AB is equal to the squares of AC, CB, and twice tiie rectangle BC, CD; (n. 12) to each of these... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 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. 18. and therefore the square on AB... | |
 | Robert Potts - 1868 - 434 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. B CD Then, because the angle at D is a right angle, the angle ACB is greater than a right angle ; (I.... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...them the rectangle contained by AC, C B. But ABED, the square on AB, is made up of these four figures, therefore the square on AB is equal to the squares on AC, CB, and twice the rectangle contained by AC, C B. III. If a straight line be divided into two parts,... | |
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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. 
