 | Euclides - 1879 - 146 pages
...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 by these parts. Let AB be... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...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 by the two parts. 4. If two... | |
 | Education Ministry of - 1880 - 238 pages
...equal parallelogram having one of its angles equal to that of the given 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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 by the two parts. Let the... | |
 | Elizabethan club - 1880 - 156 pages
...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 contained by the parts. Express... | |
 | Pupil teachers - 1880 - 1486 pages
...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 by the parts. The parallelograms... | |
 | 1880 - 160 pages
...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 by the two parts. (viii.)... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 by the parts.... | |
 | Education, Higher - 1881 - 504 pages
...degrees are the angles of a regular pentagon, dodecagon, and quindecagon made 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... | |
 | Moffatt and Paige - 1881 - 176 pages
...side and an adjacent angle equal, each to each, they shall be equal in all 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... | |
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If a straight line be divided into any two parts, the square on the whole line is... 
