| John Playfair - 1846 - 332 páginas
...multiplying both members of 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... | |
| Jeremiah Day - 1847 - 358 páginas
...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... | |
| Euclides - 1848 - 52 páginas
...the two parts, together with the square of the aforesaid part. 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. COR. From the demonstration,... | |
| Jeremiah Day, James Bates Thomson - 1848 - 264 páginas
...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... | |
| Euclid, Thomas Tate - 1849 - 120 páginas
...together with the square of BC. If therefore a straight, &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. Upon AB describe... | |
| Elias Loomis - 1849 - 252 páginas
...middle points of the sides which are not parallel. PROPOSITION VIII. THEOREM. If a straight line is **divided into any two parts, the square of the whole line is** equivalent to the squares of the two parts, together with twice the rectangle contained by 'the parts.... | |
| Great Britain. Committee on Education - 1850 - 914 páginas
...makes the alternate angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut **into any two parts, the square of the whole line is equal to the** squares of the parts, and twice the rectangle contained by the parts. — Show the same Algebraically.... | |
| 1852
...triangle, and have one of its angles equal to * Riven rectilineal angle. SECTION II. 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 paits. 2. If a straight... | |
| University of Durham - 1851
...upon the same base and upon the same side of it are between the same parallels. 4. If a straight line **be divided into any two parts, the square of the whole line is equal to the** square of the parts together with twice the rectangle contained by the parts. 5. To divide a given... | |
| Euclides - 1852
...by 7 is equal to 49. These added together make up 84.] BOOK n. PEOP. IV. THEOE. 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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