 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...bisected in that point, and also bisects the parallelogram. BOOK II. 5. PROP. IV. — 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. 6. PROP. IX. —... | |
 | Euclides - 1858 - 136 pages
...I, Ax. 1. Hyp. Cone. •ui Con e. Def. 1.1 1. .in. I. \x. I. BOOK II. 85 PROP. IV. THEOII. If a st. line be divided into any two parts, the square of the whole line equals the squares of the two parts, together with twice the rectangle contained by the parts. CоN.... | |
 | Euclides - 1858 - 248 pages
...parallelogram which are about the diameter of any parallelogram, are equal to one another. 4. II. If a st. line be divided into any two parts, the square of the whole line equals the square of the two parts together with twice the rectangle contained by the parts. Def. 30.... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...middle point of 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... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...inches and 2 inches in length. 4. Prove also in the same manner the following : — ^ A. " 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 and twice their rectangle. B. " If a straight line be. divided into two equal... | |
 | Civil service - 366 pages
...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 - Mechanical engineering - 1861 - 316 pages
...rectangles of AD and AE, 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 - Education, Higher - 1863 - 316 pages
...to a 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 - 388 pages
...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 - 156 pages
...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... | |
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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. 
