| 1855 - 264 pages
...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 - School buildings - 1855 - 976 pages
...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... | |
| John Playfair - Geometry - 1855 - 334 pages
...equal to the squares of the two parts, together with twicetke rectangle contained by tin- parts. V Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC, CB, that is, AB... | |
| Euclides - 1856 - 168 pages
...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 twice...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... | |
| W F. Richards - Elementary school teaching - 1856 - 198 pages
...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... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...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... | |
| 1856 - 376 pages
...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 - Conic sections - 1857 - 242 pages
...parallel. PROPOSITION VIII. THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent to the squares of the...squares on AC CB, together with twice the rectangle contained by AC, CB ; that is, AB% or (AC+CB)'=AC'+CB'+2ACxCB. Upon AB describe the square ABDE ; E... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...parallel. PROPOSITION VIII. THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent to the squares of the...squares on AC CB, together with twice the rectangle contained by AC, CB ; that is, AB% or (AC+CB)'=AC'+CB'+2ACxCB. Upon AB describe the square ABDE ; E... | |
| War office - 1858 - 578 pages
...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... | |
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