| Edward Harri Mathews - 1879 - 94 pages
...and H. 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. If the sum of the rectangles is equal to the sum of the squares described on the parts, show that the... | |
| Moffatt and Paige - 1879 - 506 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 parts. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be... | |
| Joseph Wollman - 1879 - 120 pages
...triangle. QEF 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 - 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.... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the two part*. Let the straight line AB be divided into any two parts in C; then will . CB. Upon AB describe... | |
| 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... | |
| Oxford univ, local exams - 1880 - 394 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 are equally... | |
| 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 by the whole... | |
| 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 shall be equal... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...THEOREM. If a straight line be divided into any two parts, the square on the whole lime is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let AB be a straight line, divided into any two parts in C. Then it ie to be proved that The... | |
| |