 | Euclides - 1855 - 270 pàgines
...parts of the divided straight line, their rectangle 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 parts, together with twice the rectangle contained by the parts. Let the straig-ht... | |
 | Great Britain. Committee on Education - 1855 - 976 pàgines
...triangle, and have one of its angles equal to a 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 parts, together with twice the rectangle contained by the two parts. 2. If a straight... | |
 | 1855 - 264 pàgines
...through the middle points of two sides of a triangle 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 parts, together with twice the rectangle contained by the parts. 6. In every triangle,... | |
 | John Playfair - 1855 - 334 pàgines
...multiplying both members of this equality by c, we shall have oc^ic+c 2 . PROP. IV. THEOR. If a straight line be divided into any two parts, the square of the whole line ts equal to the squares of the two parts, together with twicetke rectangle contained by tin- parts.... | |
 | 1855 - 424 pàgines
...than in ordinary language. 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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pàgines
...parallel. 6. Parallelograms on the same base and between the same 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 parts, together with twice the rectangle contained by the parts. 8. Describe a square... | |
 | W F. Richards - 1856 - 198 pàgines
...triangle, and have one of its angles equal to a given rectilineal angle. Section II. — 1. If a straight line be divided into any two parts, the square of the whole line shall be equal to the sum of the squares of the parts, together with twice the rectangle contained... | |
 | Euclides - 1856 - 168 pàgines
...making A equal to the whole line considered as divided into two parts, it appears that if a straight line be divided into any two parts, the square of the whole liriiHs equal to the sum of the rectangles contained by the whole line and each of the parts. Cor.... | |
 | 1858 - 398 pàgines
...bisected in that point, and also bisects the parallelogram. BOOK II. 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. —... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 pàgines
...bisected in that point, and also bisects the parallelogram. BOOK II. 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. —... | |
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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. 
