| University of Oxford - 1879 - 414 páginas
...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 - 120 páginas
...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 - 146 páginas
...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 - 506 páginas
...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 - 68 páginas
...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... | |
| Euclides, Frederick Burn Harvey - 1880 - 178 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 - 1486 páginas
...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 - 426 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 - 156 páginas
...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 - 160 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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