| Āryabhaṭa - 1878
...divided Mo any two parts, the rectangle contained by the whole line and one of its parti is equal to th* **rectangle contained by the two parts, together with the square of the** for esaid part. And conversely, if there be a rectangle and the square of one of its sides, the rectangle... | |
| Isaac Sharpless - 1879 - 266 sider
...CE=CF.CB = AB. CB, AE-AB * ; AB.AC+AB.CB=AB\ Proposition 3. Theorem.—If a straight line be divided **into any two parts, the rectangle contained by the...by the two parts, together with the square of the** aforesaid part. Let the straight line AB be divided in two parts in the point C, then AB.BC=AC.CB+BC\... | |
| University of Oxford - 1879
...angles on the same side of it together equal to two right angles. 3. If a straight line be divided **into any two parts, the rectangle contained by the...by the two parts, together with the square of the** aforesaid part. 4. From a given point, either without or in the circumference of a circle, draw a straight... | |
| W J. Dickinson - 1879 - 36 sider
...straight line is equal to four times the square on half the line. 3. If a straight line be divided **into any two parts, the rectangle contained by the...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 - 1879
...corresponding to the enunciation of the proposition.] PROPOSITION III. THEOREM. If a straight line be divided **into any two parts, the. rectangle contained by the...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,... | |
| Edward Harri Mathews - 1879
...square equal to the difference of two given squares. Section III. 1. If a straight line be divided **into any two parts, the rectangle contained by the...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... | |
| Moffatt and Paige - 1879
...B. Therefore, if a straight line, etc. QED Proposition III. Theorem. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then... | |
| Euclid, F. B. Harvey - 1880 - 119 sider
...MO, and by MN and NO, together = the square on MN. PBOP. III. THEOREM. If a straight line be divided **into any two parts, the rectangle contained by the...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 - 144 sider
...of it ; the angle contained by these two sides is a right angle. 7. If -a straight line be divided **into any two parts, the rectangle contained by the...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 - 1880 - 400 sider
...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... | |
| |