| Euclid - 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 - 314 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 - 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... | |
| |