 | Euclides - Geometry - 1853 - 176 pages
...straight Une be dvmded 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 into any two parts in the point С ; the squares... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...of CB, is equal to the square of CD. Wherefore if a straight line, &c. QED PROPOSITION VII. THEOR. 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... | |
 | Euclides - 1853 - 146 pages
...square of CB, is equal to the square of CD. Wherefore, if a 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... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...45. PROP. XXIII. Jf a straight 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...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, that... | |
 | Robert Potts - 1855 - 1050 pages
...from D, the middle point of BC, DE is drawn perpendicular to AS: shew that BE is, one-fourth of AB. 5. If a straight line be divided into any two parts, the squares on the whole line and one of the parts, shall be together equal to twice the rectangle contained by the whole line and that... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...right angle. 4. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with the square of the other part. 5. To construct a square equal... | |
 | Euclides - 1855 - 270 pages
...the rectangle AD.DB, and the square of С В is equal to the 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 to twice the rectangle contained by the whole... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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. 8. Divide a given straight line into two parts, so that the rectangle contained... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...to one anoiher. If one of the complements be a square, the 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 to twice the rectangle contained by the whole... | |
| |
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... 
