| Euclides - 1842
...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 - 1842 - 332 páginas
...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 - 1842 - 320 páginas
...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 - 552 páginas
...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 - 1844 - 266 páginas
...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 - 1845 - 382 páginas
...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 - 544 páginas
...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 - 1845 - 199 páginas
...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... | |
| Scottish school-book assoc - 1845 - 434 páginas
...two parts in the point C, the proposition becomes the following. If a straight line be divided into **two parts, the square of the whole line is equal to the sum of the** squares of the parts, together with twice the rectangle contained by the parts. Cor. 2. If AB and CB... | |
| Euclides - 1846 - 292 páginas
...together with the square of BC. Wherefore, If a straight line ScQED 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... | |
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