 | Moffatt and Paige - 1881 - 176 pages
...corollary in Book I. ? 3. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part...the line made up of the half and the part produced. ALGEBRA. 1. If c be a common measure of A and B it will also measure mA + mB, where mn represent any... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...the square of half the line bisected, it equal to the square of the straight line which is made up tf the half and the part produced. Let the straight line AB be bisected at C, and produced to the point D. The rectangle AD.DB, together with the A c BD square of CB, is equal... | |
 | Education, Higher - 1882 - 498 pages
...sides is a right angle. 7. If a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part...the line made up of the half and the part produced. 8. From two given points on the same side of a line given in position, draw two lines which shall meet... | |
 | Marianne Nops - 1882 - 278 pages
...THEOREM 10. — IST METHOD. If a straight line be bisected and produced to any point, the square on the whole line thus produced, and the square on the part...the line made up of the half and the part produced. Sqq. on AD, DB = twice sqq. on AC, CD. Cons. — Describe the sq. on AD (I. 46). Construct two sqq.... | |
 | Education - 1882 - 676 pages
...square on half the line. 3. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part...together double of the square on half the line bisected, ani of the square on the line made up of the half and the part produced. i. Reduce form. 2. Solve the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...PROPOSITION 10. THEOREM. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part...half the line bisected and of the square on the line inade up of the half and the part produced. Let the straight line AB be bisected at C, and produced... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pages
...PROPOSITION X. THEOREM. If a straight line be bisected and produced to any point, the square on the irhole line thus produced and the square on the part of it...square on half the line bisected and of the square on i/te line made up of the half and the part produced. Let the st. line AB be bisected in C and produced... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...bisected, and produced to any point, the square on the whole line thus produced, and the square of the part of it produced, are together double of the square on half the line bisected, and of the squire on the line made up on the half and the part produced. Prop. X. Bk. II. Algebra. Answer two... | |
 | Euclides - 1883 - 176 pages
...thus produced and the part of it produced, together with the square on half the line bisected, equals the square on the line made up of the half and the part produced. — (En. II. 6.) 9. Divide a given straight line internally into two parts so that the rectangle contained... | |
 | Stewart W. and co - 1884 - 272 pages
...part of it produced, are together twice the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let AB be bisected in C, and produced to D ; then the squares of AD, DB, are twice the squares of AC, CD... | |
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If a straight line be bisected and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square on the line made up of the... 
