 | Moffatt and Paige - 1879 - 378 pages
...squares. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by those parts. For Proposition 1, see Euc. I. 45. Bisect a right angle by I. 9. For 2, see Euc. I. 46.... | |
 | Elizabethan club - 1880 - 156 pages
...other. 4. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. Express this also algebraically. 5. Divide a line into two parts, so that the rectangle contained by... | |
 | Oxford univ, local exams - 1880 - 396 pages
...triangle. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 4. Equal straight lines in a circle are equally distant from the centre ; and those which... | |
 | 1880 - 160 pages
...angle. (vii.) If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice' *the rectangle contained by the two parts. (viii.) To divide a given straight line into two parts, so that the rectangle contained... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C : the square on AB... | |
 | Education Ministry of - 1880 - 238 pages
...triangle. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by those parts. [It may be assumed that parallelograms about the diameter of a square, are likewise squares.]... | |
 | Moffatt and Paige - 1881 - 176 pages
...respects. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
 | Education, Higher - 1881 - 504 pages
...up ? 4. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 5. Describe a square that shall be equal to a given rectilineal figure. 6. Shew that the square on... | |
 | Education, Higher - 1884 - 538 pages
...triangle. 5. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 7. On a given straight line describe a segment of a circle containing an angle equal to... | |
 | 1882 - 486 pages
...Prove that if a st aight line be diuJed into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the two parts. 5. Divide a given straight lite into two parts so that the rectangle contained by the whole... | |
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If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 
