 | Charles Davies - 1850 - 218 sider
...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 AB be equivalent... | |
 | Charles Davies - 1850 - 238 sider
...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 AB be equivalent... | |
 | 582 sider
...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 - 316 sider
...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 sider
...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 - 1851 - 222 sider
...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... | |
 | 1851 - 382 sider
...by those two sides is a right angle, . . 3. If a straight line be divided into any two parts, _ 20 2 the square of the whole line is equal to the squares of the two parts, together with twice their rectangle, 4. In any plane triangle the sides are to each 21 other as what ? Demonstrate this... | |
 | 1863 - 830 sider
...between the first and second shall be equal to that intercepted between the second and third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Entrance Examination. 6.... | |
 | Euclides - 1852 - 152 sider
...rectangles contained by the whole and each of the parts are together equal to the square of the whole line. Let the straight line AB be divided into any two parts in the point C; the rectangle contained by AB, BC ; together with the rectangle* AB, AC, shall be equal... | |
 | Euclides - 1853 - 146 sider
...AC, CB, together with the square of BC. If, therefore, a straight line, &c. QED PROP. IV. THEOREM. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares... | |
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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. 
