 | Euclides - 1838 - 264 pages
...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...the squares of the two unequal parts are together doable of the square of half the line, and of the square of the line between the points of section.... | |
 | Euclides - Geometry - 1841 - 378 pages
...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...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.... | |
 | Euclid - Geometry - 1845 - 218 pages
...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...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.... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...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 between... | |
 | Euclides - 1845 - 546 pages
...lines is never less than twice their rectangle. 8. If a straight line be divided into two equal and into two unequal parts, the squares of the two unequal parts are equal to twice the rectangle contained by the two unequal parts, together with four times the square... | |
 | Euclides - 1846 - 292 pages
...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...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.... | |
 | John Playfair - Euclid's Elements - 1846 - 334 pages
...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...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.... | |
 | Euclid - 1848 - 52 pages
...of the straight line, which is made up of the whole and that part. PROP. IX. THEOREM. If a straight line be divided into two equal, and also into two...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.... | |
 | J. Goodall, W. Hammond - 1848 - 388 pages
...the square of the aforesaid part. 2. Prove that if a straight line be divided into two equal and also 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.... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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...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.... | |
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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. 
