 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.  Elements of Plane Geometry - Page 64by Thomas Hunter - 1878 - 132 pagesFull view - About this book
 | Euclides - 1842 - 316 pages
...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... | |
 | Scotland free church, gen. assembly - 1847 - 554 pages
...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
...CO. concise, 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... | |
 | Scottish school-book assoc - 1845 - 444 pages
...considered as a line divided into 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 - 1845 - 546 pages
...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
...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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...this equality by c, we shall have ac=ic+c2. 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... | |
 | Euclides - 1846 - 292 pages
...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... | |
 | Jeremiah Day - Algebra - 1847 - 358 pages
...and concise, than in ordinary language. The proposition, (Euc. 4. 2.) that when a straight line is divided into two par.ts, the square of the whole line is equal to the squares of the two parts, together with twice the product of the parts, is demonBtrated, by involving... | |
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