| University of Oxford - 1879
...line on one side of it, either are two right angles, or are together equal to two right angles. 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... | |
| Joseph Wollman - 1879
...the side GL, and it has been proved that the angle GLM is equal to that of the given 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... | |
| Euclides - 1879
...cases of sufficient importance to require separate and independent proofs.] PROPOSITION IV. 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 rectangles contained... | |
| Moffatt and Paige - 1879
...CB together with the square on B C. Therefore, if a straight line, etc. QED Proposition IV. 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... | |
| Sandhurst roy. military coll - 1880
...yards. N. 0 1 2 3 4 5 6 7 8 9 Dif. 1905 2798950 9178 9406 9634 9862 o090 o317 o545 o773 Tool 228 1. **If a straight line be divided into any two parts,...the square of the whole line is equal to the squares** on the parts and to twice the rectangle contained by the parts. Write down the corresponding algebraical... | |
| Euclid, F. B. Harvey - 1880 - 119 páginas
...Proposition : The rectangle AB, AC = the rectangle AC, CB, together with the square on AC. PROP. IV. 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... | |
| Pupil teachers - 1880
...and one part may be twice the square on the other part. 4.Define a rectangle and a square. Prove that **if a straight line be divided into any two parts, the square** on the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
| Isaac Todhunter - 1880 - 400 páginas
...AC, CB, together with the square on BC. Wherefore, if a straight line &c. QED PKOPOSITION 4. 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... | |
| Elizabethan club - 1880
...right-angled. Construct a right-angled triangle, having one of the angles at the base double of the 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... | |
| 1880 - 144 páginas
...the right angle is equal to the squares described on the sides which contain the right 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... | |
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