 | 1880 - 160 pages
...aforesaid part. 8. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let AB be a straight line divided into any two parts in C. Then it is to be proved... | |
 | Pupil teachers - 1880 - 1486 pages
...line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square on the other part. Same proposition. Prove this both geometrically and algebraically. Same proposition.... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...the square of CD. PROP. VII. THEOREM. If a itraight linn be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the iquare of the other part. Let the straight line AB be divided into any two parts at the point C. The... | |
 | Moffatt and Paige - 1881 - 176 pages
...and 10. 2. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Hence show that the sum of the squares on two straight lines is never less than... | |
 | Education, Higher - 1881 - 504 pages
...formed together equal two right angles. 5. If a straight line be divided into any two parts, the square of the whole line and of one of the parts are equal to twice the rectangle of the whole and that part together with the square of the other part. Express in geometrical terms... | |
 | Education, Higher - 1884 - 538 pages
...line be divided into any two parts, the squares on the whole line and on one of the parts shall be equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 8. If two circles touch one another internally, the straight line which joins their... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...AD, ED. 2. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole, and that part, together with the square on the other part. Produce a given straight line, so that the sum of the squares on the given line... | |
 | Marianne Nops - 1882 - 278 pages
...VII., THEOREM 7. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts at the point C. The sqq.... | |
 | Education - 1882 - 676 pages
...ARB, &c.) 2. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Algebra. 1. Find the G. c. M. of 24^-22^ + 5, and 48лг4+1бл5-15, and reduce... | |
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If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
