 | Cambridge univ, exam. papers - 1854 - 284 pages
...parallelograms GF, EH is equal to twice the triangle KBD. 2. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Produce a given straight line to a point such that... | |
 | William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...parallelograms is equal to twice the triangle BSD. 2. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Produce a given straight line to a point such that... | |
 | John Playfair - Geometry - 1855 - 334 pages
...equality, by transposition. PROP. VIII. THEOR. If a straight line lie divided into any two parts, four times the rectangle contained by the whole line, and...equal to the square of the straight line which is made vp of the whole and thefirst-mentioned part. Let the straight line AB be divided into any two parts... | |
 | Euclides - 1855 - 270 pages
...divided into any two parts, four times the rectangle con'ained by the whole line, and one of the parís, together with the square of the other part, is equal...the straight line, which is made up of the whole and thai part. Let the straight line AB be divided into any two parts at the point С. Four times the rectangle... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 line and one...parts, together with the square of the other part. 5. To construct a square equal to a given rectangle. 6. If a straight line passing through the centre... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...upon the sides which contain the right angle. 6. If a straight line be divided into anу two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...the square of the aforesaid part. If a straight line be divided into any two parts, four times tho rectangle contained by the whole line, and one of...of the straight line, which is made up of the whole line and that part. In obtuse angled triangles, if a perpendicular be drawn from either of the acute... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. 8. PROP. XII. In obtuse-angled triangles, if a perpendicular be drawn from... | |
 | Euclides - 1858 - 136 pages
...divided into any tico parts, four times the rectangle contained by 'the whole line and one of tlie parti together with the square of the other part, is equal to the square of the st.i line which is made up of the whole and that part. Cos. Pet. 3. 3. I, 40. I, 31. I, DEM. 34. I,... | |
 | War office - 1858 - 578 pages
...rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D.,... | |
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PROP. VIII. THEOR. IF a straight line be divided into any two parts, tour times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of... 
