 | Euclides - 1874 - 120 pages
...PROPOSITION 3. 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 the straight line AB be divided into any two parts at the point C: the rectangle... | |
 | Henry Major - 1876 - 784 pages
...House of Lords." 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 two equal, and also into two unequal parts,... | |
 | Euclides - 1878 - 398 pages
...PROPOSITION 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 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 pages
...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 - Geometry - 1879 - 282 pages
...Proposition 3. 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...aforesaid part. Let the straight line AB be divided in two parts in the point C, then AB.BC=AC.CB+BC\ Upon BC describe (I. 41) the square CE; produce ED... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...two right angles. 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...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 line which... | |
 | Moffatt and Paige - 1879 - 506 pages
...Proposition 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 the straight line AB be divided into any two parts in the point C. Then... | |
 | Euclides - 1879 - 146 pages
...PROPOSITION 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,... | |
 | Edward Harri Mathews - 1879 - 94 pages
...squares. 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... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...half 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... | |
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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. 
