| Henry Major - 1873
...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
...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
...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
...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
...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
...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.... | |
| Euclides - 1874
...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 - 349 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
...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... | |
| James Hamblin Smith - 1876
...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. L. Let the st. line AB be bisected in C and produced to D. Then must rect.... | |
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