 | William Somerville Orr - 1854 - 534 σελίδες
...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 - 196 σελίδες
...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 - 520 σελίδες
...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 - 264 σελίδες
...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 - 270 σελίδες
...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 - 976 σελίδες
...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 - 424 σελίδες
...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 - 168 σελίδες
...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 - 198 σελίδες
...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 - 252 σελίδες
...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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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 the rectangle contained by the parts. 
