 | Euclid, Charles Peter Mason - 1872 - 216 sider
...whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. The propositions... | |
 | Henry Major - 1873 - 588 sider
...equal to twice the rectangle AB, BC. together with the square of AC. VIII. — If a straight line be divided into any two parts four times the rectangle contained by the wJwle line, and one of the parts, together with the square oftha other part, is equal to the square... | |
 | Edward Atkins - 1874 - 426 sider
...square on AC. Therefore, if a straight line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle...on the straight line which is made up of the whole line and the first mentioned part. Let the straight line AB be divided into any two parts in the point... | |
 | Edward Atkins - 1874 - 428 sider
...square on AC. Therefore, if a straight line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle...contained by the whole line and one of the parts, toget/ier with the square on the other part, is equal to the square on tlie straight line which is... | |
 | Braithwaite Arnett - 1874 - 130 sider
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 4. If a straight line drawn through the centre of a circle bisect a straight... | |
 | Euclides - 1874 - 120 sider
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. j Let the straight line AB he hisected at the point ' • C, and produced... | |
 | Euclides - 1874 - 342 sider
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line, and one of the parts, shall be equal to the square on the other part. Construction. Upon AB describe the square ACDB (I.... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...BC. <^. E. D, PROP. III. — THEOREM. (Euc. II. 3.) If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the square of that part, together with the rectangle contained by the two parts. Let AB... | |
 | Francis Cuthbertson - 1874 - 400 sider
...rectangle BP, PQ + rectangle BP, QC. Hence, if a straight line be divided into any number of parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangles contained by that part and the other... | |
 | Education Department,London - 1876 - 1010 sider
...thus produced and the part of it produced, together •»ith the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Male Candidates—First Year. 19 2. In every triangle, the square on the... | |
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If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... 
