 Iff a straight line be divided into any two parts, four 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 the whole and that...  The Elements of Plane Geometry ... - 110 ページAssociation for the improvement of geometrical teaching 著 - 1884全文表示 - この書籍について
 | Royal Military Academy, Woolwich - 1853 - 400 ページ
...line, etc. QED PROPOSITION VIII. THEOR. If a straight line be divided into any two parts, four 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... | |
 | Euclides - 1853 - 176 ページ
...&c. QED PROPOSITION VIII. — THEOREM. If a straight line be divided into any two parts, four 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... | |
 | Euclides - 1853 - 334 ページ
...other part. Let AB be the given straight line. It is required to divide it into two such parts, that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. On AB describe (i. 46) the square ACDB ; and supposing... | |
 | Cambridge univ, exam. papers - 1854 - 284 ページ
...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 ページ
...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... | |
 | Great Britain. Committee on Education - 1855 - 976 ページ
...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 of the parts, together with the square of the other part. 5. To construct a square equal to a given rectangle. 6.... | |
 | Cambridge univ, exam. papers - 1856 - 252 ページ
...described 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. 7. In obtuse-angled... | |
 | Euclides - 1858 - 248 ページ
...the com. dif. being 160. PROP. 8. — THEOR. If a st. line be divided into any two parts, four 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 st. line which is made up... | |
 | War office - 1858 - 578 ページ
...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.,... | |
 | James Elliot - 1860 - 252 ページ
...Ex. C), the altitude of the triangle being a and the base b 1 8. A st* line a being divided so that the rectangle contained by the whole line and one of the parts is equal to the square of the other part, compute the lengths of the two parts. Ans. £a ( V 5 — 1) and £a (3 —... | |
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