 | 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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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 line between the points of section. 
