| Elias Loomis - Conic sections - 1849 - 252 pages
...middle points of the sides which are not parallel. PROPOSITION VIII. THEOREM. If a straight line is **divided into any two parts, the square of the whole line is** equivalent to the squares of the two parts, together with twice the rectangle contained by 'the parts.... | |
| Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...sides which contain the right angle. Section 3. 1. If a straight line be divided into any two part» **the square of the whole line is equal to the squares...parts, together with twice the rectangle contained** hy the parts. 2. Show that if a straight line be divided into any two parts, the squares of the whole... | |
| Jeremiah Day - Algebra - 1850 - 348 pages
...language. The proposition, (Euc, 4. 2.) that when a straight line is divided into two parts, tilesquare **of the whole line is equal to the squares of the two parts, together with twice the** product of the parts, is demonstrated, Ijy involving a binomial. Let the side of a square be represented... | |
| Great Britain. Committee on Education - 1850 - 914 pages
...makes the alternate angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut **into any two parts, the square of the whole line is equal to the squares of the** parts, and twice the rectangle contained by the parts. — Show the same Algebraically. 4. Prove tluit... | |
| Charles Davies - Geometry - 1850 - 218 pages
...parts, the square described on the whole line is equivalent to the sum of the squares described on **the two parts, together with twice the rectangle contained by the parts.** Let the line AB be divided into two -^ HC parts at the point E : then will the square described on... | |
| Charles Davies - Geometry - 1850 - 236 pages
...parts, the square described on the whole line is equivalent to the sum of the squares described on **the two parts, together with twice the rectangle contained by the parts.** . Let the line AB be divided into two n IT n parts at the point E: then will the square described on... | |
| 582 pages
...contained by the whole and one of the parts, shall be equal to the square of the other part. 2. If **a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts.** In what sense is the area of a triangle said to be equal to half the product of tils base and altitude?... | |
| 1852 - 314 pages
...a given triangle, and have one of its angles equal to * Riven rectilineal angle. SECTION II. 1. If **a straight line be divided into any two parts, the...together with twice the rectangle contained by the** paits. 2. If a straight line be divided into two equal and also into two unequal parts, the squares... | |
| 1867 - 336 pages
...undivided line, and tho several parts of the divided line. 2. If a straight line be divided into any t»o **parts, the square of the whole line is equal to the...together with twice the rectangle contained by the parts.** Prove geometrically that the sum of the squares of two lines cannot be less than twice their rectangle.... | |
| University of Durham - Education, Higher - 1851 - 222 pages
...Equal triangles upon the same base and upon the same side of it are between the same parallels. 4. If **a straight line be divided into any two parts, the square of the whole line is equal to the** square of the parts together with twice the rectangle contained by the parts. 5. To divide a given... | |
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