| Thomas Stantial - 1859
..."parallel lines" and "parallelograms" gained from the first book of Euclid. 3. " If a straight line **be divided into any two parts, the square of the whole line is equal to the** rectangles contained by the whole and each part." Prove this (1) by geometry ; (2) by algebraic demonstration... | |
| Sandhurst roy. military coll - 1859 - 1869 páginas
...a diameter, and is terminated by two opposite sides, bisects the parallelogram. 3. If a right 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. 4. The opposite... | |
| Civil service - 366 páginas
...bisected in that point, and also bisects the parallelogram. BOOK II. PROP. IV — If a straight lice **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. PROP. IX. — If... | |
| William Grier - 1861 - 316 páginas
...and AD and EF, and AD and FB : thus expressed, AD . AB=AD . AE -f-AD . EF+AD . FB.* If a right line **be divided into any two parts, the square of the whole line, is equal to** both the rectangles of the whole line and each of the parts. • Instead of the mark X > a point is... | |
| University of Oxford - 1863
...given triangle, and have one of its angles equal to a given rectilineal angle. 7. 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. 8. If a straight... | |
| University of Calcutta - 1864
...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. To what algebraical... | |
| Henry White - 1864
...proved that the three angles of a triangle are together equal to two right angles. 4. 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. 5. Divide a given... | |
| Euclides - 1865 - 402 páginas
...contained by the two parts, together with the square of the aforesaid part. Prop. 4. 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. Cor. The parallelograms... | |
| Edinburgh univ - 1868
...that which has the greater angle shall be greater than the base of the other. 3. 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. 4. The diameter... | |
| James Smith - 1869 - 405 páginas
...area of a rectangle of which AD and AE are sides. By Euclid : Prop. 2 : Book 2 : " If a straight line **be divided into any two parts •, the square of the whole line is equal to the sum of the** rectangles contained by the whole line and each of its parts" Hence : (AD • AE + AD • ED) = A D2,... | |
| |