 | Edward Harri Mathews - 1879 - 94 pages
...Section III. 1. 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 on the aforesaid part. 2. If a straight line be divided into any two parts, the squares on the whole... | |
 | Euclides - 1879 - 146 pages
...III. THEOREM. 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 on the aforesaid part. Let AB be divided into any two parts at C. Then rect. AB, BC == rect. AC, BC,... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...the line. 3. 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 on the aforesaid part 1G Same proposition. Divide a given line so that the rectangle contained by the... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...III. THEOREM. 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 on the aforesaid part. Let AB be a straight line divided into any two parts in C. Then it is to be... | |
 | 1880 - 160 pages
...right angle. 7. 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 on the aforesaid part. 8. If a straight line be divided into any two parts, the squares on the whole... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...line lie divided into any ttco parts, the rectangle contained by tlie whole and one of the parts, u equal to the rectangle contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at the point C: the rectangle... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...a square. FK 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...foresaid part. Let the straight line AB be divided into any two parts at the point C. The rectangle AB.BC is equal to the rectangle AC.CB, together with the... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...angles. 5. If a straight 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. 6. Prove that twice the bisector of the base of a triangle, drawn from the opposite... | |
 | 1883 - 248 pages
...angle A. 2. If a straight line be diveded 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 on the aforesaid part. 3. To divide a given straight line into two parts, so that the rectangle contained... | |
 | Marianne Nops - 1882 - 278 pages
...III., THEOREM 3. 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 on the aforesaid part. Let the straight line AB be divided into any two parts at C. The rect. AB, BC... | |
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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. 
