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. The Elements of Euclid - Side 41av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| 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
...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... | |
| Euclides - 1881
...mentioned in Us enunciation are equal, their rectangle is a square. FK If a straight line be divided **into any two parts, the rectangle contained by the...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... | |
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