| Pierce Morton - Geometry - 1830 - 584 pages
...AB is equal to the rectangles under С and AD, С and DE, С and E B. Therefore, &c. Cor. (Rue- ii. 2.) If a straight line be divided into any two parts, the rectangles contained by the whole line and each of the parts, shall be together equal to the square... | |
| Mathematics - 1835 - 684 pages
...AB is equal to the rectangles under С and AD, С and DE, С and E B. Therefore, &c. Cor. (Eue. ii. 2.) If a straight line be divided into any two parts, the rectangles contained by the whole line and each of the parts, shall be together equal to the square... | |
| 582 pages
...Student*. 1. Parallelograms upon the same base and between the same parallels are equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line, and of one of the parts, are equal to twice the rectangle contained by... | |
| 1856 - 376 pages
...anle. . o rag ne o appy a paraeogra have one of its angles equal to a given rectilineal angle. and 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the... | |
| W F. Richards - Elementary school teaching - 1856 - 198 pages
...equal to the sum of the squares of the parts, together with twice the rectangle contained by the parts. 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 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... | |
| War office - 1861 - 714 pages
...angles on the other side of the base shall be equal. State Euclid's corollary to this proposition. 2. 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... | |
| Euclides - 1865 - 402 pages
...to the rectangles contained by the undivided line, and the several parts of the divided line. Prop. 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 of the whole... | |
| James Smith - Mathematics - 1869 - 492 pages
...15-2587890625 x 8-544921875) = 39-0625 = FA * ; therefore, ^39-0625 = 6-25 = F A. You will observe that F A' is equal to 10 times FE or AE ; or in other words,...AD and AE are sides. By Euclid : Prop. 2 : Book 2 : " IJ -a straight line be divided into any two parts, the square of the whole line is equal to the... | |
| Henry Major - 1876 - 784 pages
...line adjoining two opposite angles of a 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... | |
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