| 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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