 | 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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If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
