 | Euclides - 1853 - Liczba stron: 176
...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 - Liczba stron: 146
...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 - Liczba stron: 400
...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 - Liczba stron: 534
...(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 - Liczba stron: 334
...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 - Liczba stron: 270
...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 - Liczba stron: 200
...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 - Liczba stron: 346
...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 - Liczba stron: 578
...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 - Liczba stron: 380
...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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IF a straight 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 the whole line. Let the straight line AB be divided... 
