 | John M'Nevin - Arithmetic - 1841 - 300 pages
...manner 22 = 2 x 10 = 20+ 2 = 2 tens and 2 over. Hence, from the properties of Euclid. 4, Lib. 2. "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." Thus, let AB be... | |
 | John M'Nevin - Arithmetic - 1841 - 300 pages
...manner 22 = 2 x 10= 20 + 2 = 2 tens and 2 over. Hence, from the properties of Euclid. 4, Lib. 2. "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." Thus, let AB be... | |
 | Euclides - 1842 - 316 pages
...AC, cв, together with the square of вc. If therefore a straight line, &c. QED PROP. IV. THEOR. 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 straight... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...: therefore, multiplying both members of this equality by c, we shall have ac= PROP. IV. THEOR. 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 straight... | |
 | William Grier - Mechanical engineering - 1842 - 320 pages
...and AE, and AD and EF, and AD and FB: thus expressed, AD . AB=AD . AE +AD . EF+AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let the line AB be the sum of any... | |
 | Scotland free church, gen. assembly - 1847 - 554 pages
...right angles. 3. Parallelograms upon equal bases, and between the same parallels, are equal. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of each of the parts together with twice the rectangle contained by the parts. 5. Equal straight... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...than in ordinary language. The proposition, (Euc. 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 involving... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...to the square of BC, together with the rectangle AC.CB.* If, therefore, &c. PROP. IV. THEOR. — 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 their rectangle, t Let the straight line AB be divided... | |
 | Euclides - 1845 - 546 pages
...with the square of BC. If therefore a straight line be divided, &c. QED PROPOSITION 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 straight... | |
 | Euclid - Geometry - 1845 - 218 pages
...together with the square of BC. If therefore a straight line, &c. QED PROPOSITION IV. THEOB. — 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 straight... | |
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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. 
