| Moffatt and Paige - 1881 - 176 sider
...parallelogram bisect them, the parallelogram is a rhombus. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Give the corresponding result in Algebra. 3. If a straight line be divided into... | |
| Isaac Sharpless - 1882 - 286 sider
...DE 52 GEOMETRY.— BOOK IT. Proposition 2. Theorem. — If a straight line be divided into any two parts, the rectangles contained by the whole and each...line AB be divided into any two parts in the point C; then AB.AC+AB.CE=AB\ On- AB describe (I. 41) the square AE, and draw (I. 29) through C, CF parallel... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 sider
...a triangle are together greater than the third side. 5. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. 6. ABO is a scalene triangle. At B the line BX is drawn, on the same side of BO as AB, making the angle... | |
| Mary W I. Shilleto - 1882 - 418 sider
...the sum of the squares described on its two diameters. 4. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. The square on a straight line is equal to four times the square on half the line.... | |
| Education Ministry of - 1882 - 300 sider
...times the sum of the squares on the two perpendiculars. 4. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. State this algebraically. 5. The diameter is the greatest straight line in a circle.... | |
| 1882 - 676 sider
...drawn through a given point in one of the sides. 2. If a straight line be divided into any two parís, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. Algebra. 1. Prove the rule for finding the product of two fractions. ~ ., ла'а'-х"),... | |
| Marianne Nops - 1882 - 278 sider
...the ' square on the whole line ' is equal to ' the rectangle contained by the two given lines,' and ' the rectangles contained by the whole and each of the parts ' are the same as the ' rectangles contained by the undivided line and the several parts of the divided line.'... | |
| Euclid, Isaac Todhunter - 1883 - 428 sider
...there be two straight lines &c. QED PROPOSITION 2. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square on the whole line. Let the straight line AB be divided into any two parts at the point C: the rectangle... | |
| Moffatt and Paige - 1883 - 602 sider
...twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the noint C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with the... | |
| Stewart W. and co - 1884 - 272 sider
...contained by A, BD, and by A, DE, and by A, EC. II. — If a straight line be divided into any two parts, the rectangles contained by the whole and each...together equal to the square of the whole line. Let AB be divided into any two parts in the point C ; then the rectangle contained by AB, BC, together... | |
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