 | Euclides - 1853 - 146 pages
...straight line, &c. QED PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by tke whole and that part, together with the square of the other part. Let the straight line AB be divided... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...THEOREM. If a straight line (AB) be divided into any two parts (in C), the squares of the whole lint, and of one of the parts, are equal to twice the rectangle contained by the whole and Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See Diagram,... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole and that part, together with the square of the other part. With the same construction as in (44), and in the same manner it may be shewn,... | |
 | Euclides - 1855 - 270 pages
...square of СD. Р B, O P. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts at the point С. The... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...parallelogram will also be a square. 4. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. State this result algebraically. 5. One circle cannot touch another in more... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...rectangle contained by the parts. 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line... | |
 | 1856 - 376 pages
...to a given rectilineal angle. and 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the... | |
 | Euclides - 1856 - 168 pages
...straight line be divided into any two parts, the squares of the whole line and of one of the parts is equal to twice the rectangle contained by the whole and that part together with the square of the other part. Let AB (Fig. 39) be divided into any two parts in the point C, the squares... | |
 | Middle-class education - 1857 - 70 pages
...answer. 32. Prove geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal...contained by the whole, and that part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line... | |
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If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
