| Cambridge univ, exam. papers - 1854 - 282 Seiten
...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 - 1854 - 266 Seiten
...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 - 1855 - 334 Seiten
...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 - 262 Seiten
...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 - 1855 - 976 Seiten
...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 Seiten
...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 - 1858 - 422 Seiten
...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 - 1858 - 694 Seiten
...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 Seiten
...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 Seiten
...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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