 | Euclides - 1878 - 398 sider
...to four times the square on half the line, PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...the rectangle contained by the two parts together mth the square on the aforesaid part. J> Let the st. line AB be divided into any two parts in C. Then... | |
 | Āryabhaṭa - 1878 - 100 sider
...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 - 282 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 - 414 sider
...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 - 44 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 - 146 sider
...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 - 94 sider
...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 - 506 sider
...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... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 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 - 160 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... | |
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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. 
