 | Euclides - 1853 - 146 σελίδες
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares of AC, CB, together with twice the rectangle contained... | |
 | Euclides - 1855 - 270 σελίδες
...the other part, is equal to the square of the straight line, which is made up of the whole and thai part. Let the straight line AB be divided into any two parts at the point С. Four times the rectangle AB. B С, together with the square of A С, are equal to... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...straight line be divided into any two parts, the rectangle contained by the whole and one of its parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid part. Shew that the rectangle contained by the two parts is greatest when the given line is bisected. 7.... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...line be divided into anу two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part. 7. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute... | |
 | Euclides - 1856 - 168 σελίδες
...straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts together with the square of the first mentioned part. XLIX.— EUCLID II. 4. If a straight line be divided into any two parts... | |
 | W. Davis Haskoll - 1858 - 422 σελίδες
...a straight line be divided into any two parts, the rectangle contained by the whole and ono part is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. If a straight line be divided into any two parts, four times tho rectangle contained... | |
 | War office - 1858 - 578 σελίδες
...straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part. How must the line be divided so that the rectangle by the whole and part shall... | |
 | Euclides - 1858 - 248 σελίδες
...line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the rectangle contained by the two parts together with the square of the aforesaid part. CONS.— 46. I., Pst. 2, and 31. I. DEM.— Def. 1. II., Def. 30. I., and Ax.... | |
 | Elias Loomis - 1858 - 256 σελίδες
...equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
