| John Playfair - Euclid's Elements - 1837 - 332 pages
...each member of this equality, we shall have, 4aJ+c2=c2+4ic+4*2, or4ai+c2=(c-|-2i)2. PROP. IX. THEOR. **If a straight line be divided into two equal, and also into** twn unequal parts ; the squares of the two unequal parts are together double of the square of half... | |
| Euclides - 1838 - 264 pages
...and BC added together in one straight line. Wherefore, if a straight line, &c. QED PROP. IX. THEOR. **If a straight line be divided into two equal, and also into two unequal parts ; the squares** of the two unequal parts are together doable of the square of half the line, and of the square of the... | |
| Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 2. **If a straight line be divided into two equal and also into two unequal parts, the squares** of the two unequal parts are together double of the square of half the line, and of the square of the... | |
| Euclides - Geometry - 1841 - 378 pages
...BC added together in one straight line. Wherefore, if a straight line, &c. QED PROP. IX. THEOR. //' **a straight line be divided into two equal, and also into two unequal parts, the squares** of the two unequal parts are together double of the square of half the line, and of the square of the... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...each member of this equality, we shall have, 4ai+c2=c2+4ic+462, or 4ai+c2=(cr-26)2. PROP. IX. THEOR. **If a straight line be divided into two equal, and also into** twn unequal parts ; the squares of the two unequal parts are together double of the square of half... | |
| Euclid - Geometry - 1845 - 218 pages
...added together in one straight line. Wherefore, if a straight line, &c. QED PROPOSITION IX. THEOR. — **If a straight line be divided into two equal, and also into two unequal parts; the squares** of the two unequal parts are together double of the square of half the line, and of the square of the... | |
| Euclides - 1845 - 546 pages
...added together is one straight line. Wherefore, if a straight line, &c. QED PROPOSITION IX. THEOREM. **If a straight line be divided into two equal, and also into two unequal parts ; the squares** of the two unequal parts are together double of the square of half the line, and of the square of the... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...and BC added together in one straight line. Therefore, if a straight line, &c. PROP. IX. THEOR. — **If a straight line be divided into two equal, and also into two unequal parts ; the squares** of the unequal parts are together double of the square of half the line, and of the square of the line... | |
| Euclides - 1846 - 292 pages
...are equal to twice the rectangle AB, BC, together with the square of AC. PROP. vm. PROP. IX. THEOR. **If a straight line be divided into two equal and also into two unequal parts, the squares** of the two unequal parts are together double of the square of half the line and of the square of the... | |
| John Playfair - Euclid's Elements - 1846 - 334 pages
...member of this equality, we shall have, 4aJ+c2=c2+4ic+4J2, or4ai+c2=(c4-26)2. PROP. IX. THEOR. • **If a straight line be divided into two equal, and also into two unequal parts , the squares** of the two unequal parts are together double of the square of half the line, and of the square of the... | |
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