| Euclides - 1853 - 147 sider
...two straight lines, &c. QED PROPOSITION II. — THEOREM. If a straiglit line be divided into any two **parts, the, rectangles contained by the whole and...each of the parts are together equal to the square of** tJie whole line. LET the straight line ab be divided into any two parts in the point С ; the rectangle... | |
| Euclides - 1853
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 3 **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, together with twice the rectangle contained... | |
| Royal Military Academy, Woolwich - 1853
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. **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,... | |
| William Somerville Orr - 1854
...(AB) be divided into any tico parts (А С, С В), the rectangles contained by tJie whole and eaeh **of the parts, are together equal to the square of the whole line** : that is, AB-AC-f- AB-BC =AB*. » 46 I. Upon AB describe the square AE,* and through С draw С F... | |
| John Playfair - 1855 - 318 sider
...PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by tht **whole and each of the parts, are together equal to...into any two parts in the point C ; the rectangle** AB.BC, together with the rectangle AB.AC, is equal to the square of AB ; or AB.AC+AB.BC=AB 2 . On AB... | |
| Euclides - 1855
...a straight hne be divided into any two parts, the rectangles contained by the whole and each of its **parts, are together equal to the square of the whole...the straight line AB be divided into any two parts** at the point С. The rectangles contained by AB, B С and AB, AС are together equal to the square... | |
| Cambridge univ, exam. papers - 1856
...triangle, and have one of its angles equal to a right angle. 6. If a straight line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** 7. To divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
| John Playfair - 1856 - 318 sider
...and each of the parts, are together equal to the square of the whole line. c B Let the straight Ijne **AB be divided into any two parts in the point C ; the rectangle** AB.BC, together with the rectangle AB.AC, is equal to the square of AB ; or AB.AC + AB.BC=AB2. On AB... | |
| War office - 1858 - 12 sider
...the following equations : (i) f+2.5^5 (3) 13 10 Euclid. 1. If a straight line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** 2. In equal circles, equal angles stand upon equal circumferences, whether they be at the centres or... | |
| 1858
...equal to one another, and that the diagonal bisects it. 4. If a straight line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** 5. Describe a square that shall he equal to a given rectilineal figure. •6. When are circles said... | |
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