 | Euclides - 1848 - 52 pages
...to the square 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 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, Thomas Tate - 1849 - 120 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 double of the square of half the line, and of the square of the... | |
 | 1852 - 316 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the paits. 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... | |
 | 1867 - 336 pages
...up of the whole and that part. Prove this also algebraically. SECTION VI. 1. If a str tight line he 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 - 1852 - 152 pages
...that is, of AB and BC added together in one straight line. H X G T / K / / R BOOK II. 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...added together in one straight line. Wherefore, if a straight line, etc. 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 - 1853 - 146 pages
...and BC added together in one straight line. Wherefore, if a straight line, &c. QED PROP. 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... | |
 | Euclides - Geometry - 1853 - 176 pages
...added together in one straight line. Wherefore, if a straight Une, &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... | |
 | Upper Canada. Chief Superintendent of Schools - Education - 1854 - 196 pages
...of the whole line is equal to the squares of the two parts, together with twice their rectangle. 4. 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 squares of half the line, and of the squares of the... | |
 | Robert Potts - 1855 - 1050 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 12. 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. 
