| William Somerville Orr - 1854
...THEOREM. If a straight line (AB) be divided into any two parts (А С, С В) the square of the wlak **line is equal to the squares of the two parts, together with twice the rectangle contained by the parts** : that is, А В1 = А С* + С Вг + twice А ОС В. * 46 I. Upon А В describe the square AE... | |
| Upper Canada. Chief Superintendent of Schools - 1854
...prop, of the 1st book of Euclid. . 3. 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** their rectangle. 4. If a straight line be divided into two equal and also into two unequal parts ;... | |
| Thomas Lund - 1854 - 192 sider
...a straight line be divided into any two parts, the square of the whole line is equal to the sum of **the squares of the two parts together with twice the rectangle* contained by the parts.** QDEF. A rectangle is said to be contained by any two of its adjacent sides^."] * A rectangle has been... | |
| 1855
...will be parallel to the third side' 5. If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts.** 6. In every triangle, the square of the side suhtending either of the acute angles is less than the... | |
| Euclides - 1855
...becomes a square. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts.** Let the straig-ht line AB be divided into any two parts at С. square of AB is equal to the squares... | |
| Great Britain. Committee on Education - 1855
...given rectilineal angle. Section 2. 1. If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the** two parts. 2. If a straight line be divided into two equal and also into two unequal parts ; the squares... | |
| 1855
...The proposition, (Euclid 4, 2,) that when a straight line is divided into two parts, the square of **the whole line is equal to the squares of the two parts, together with twice the** product of the parts, is demonstrated, by squaring a binomial. Let the side of a square be represented... | |
| Euclides - 1856
...mentioned part. XLIX.— EUCLID II. 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...together with twice the rectangle contained by the parts.** Let the straight line AB (Fig. 39) be divided into any two parts in C. The square of AB is equal to... | |
| W. F. RICHARDS - 1856 - 184 sider
...together equal to two right angles. 5. If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts.** 6. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
| Cambridge univ, exam. papers - 1856
...parallels, are .equal to each other. 7. If a right line be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts.** 8. Describe a square that shall be equal to a given rectilineal figure. 9. Find the centre of a given... | |
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