 | 1855 - 264 Seiten
...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 parts, 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... | |
 | Great Britain. Committee on Education - 1855 - 976 Seiten
...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 parts, 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 Seiten
...(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 Seiten
...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 parts, together with...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 the squares of AC, CB and... | |
 | Cambridge univ, exam. papers - 1856 - 252 Seiten
....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 parts, 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... | |
 | W F. Richards - 1856 - 198 Seiten
...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 parts, 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... | |
 | 1856 - 376 Seiten
...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 parts, together with twice the rectangle contamed by the parts. 6. In obtuse-angled triangles if a perpendicular be drawn from either of the... | |
 | Elias Loomis - 1858 - 256 Seiten
...THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent to the squares of the two parts, together with twice...AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained by AC, CB... | |
 | War office - 1858 - 578 Seiten
...proposition ? 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 the rectangle contained by the parts. 4. What is the angle in a segment of a circle ? The angles in the same segment of a circle are equal... | |
 | 1858 - 398 Seiten
...5. PROP. IV. — 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. 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the... | |
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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. 
