| Isaac Sharpless - 1882 - 266 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
...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
...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
...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
...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
...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 - 1883
...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
...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
...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... | |
| 1884
...the triangles ABC, DFE are equal in all respects. QED 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. Prop, i, Bk. II. 3- To describe a square that shall be equal to a (riven rectilineal... | |
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