| Euclides - 1860 - 288 pages
...square on any line is quadruple of the square on half that line. PROPOSITION IX. THEOREM. If a straight **line be divided into two equal, and also into two unequal parts, the squares** on the two unequal parts are together double of the square on half the line, and of the square on the... | |
| Alexander Hadden Hutchinson - 1861 - 128 pages
...angle is equal to the squares described upon the sides which contain the right angle. 2. If a straight **line be divided into two equal and also into two unequal parts, the** rectangle contained by the unequal parts together with the square cf the line between the points of... | |
| War office - 1861 - 260 pages
...Parallelograms upon the same base and between the same parallels are equal to one another. 2. If a straight **line be divided into two equal and also into two unequal parts, the** rectangle contained by the unequal parts together with the square of the line between the points of... | |
| Euclides - 1862 - 172 pages
...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;** then the squares of the two unequal parts are together double of the square of half the line, and of... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...the square on the straight line which is made up of the half and the part produced. 9. If a straight **line be divided into two equal, and also into two unequal parts, the squares** on the two unequal parts are together double of the square on half the line and of the square on the... | |
| Euclides - 1864 - 448 pages
...in 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** on the two unequal parts are torJether double of the square on half the line, and of the square on... | |
| Euclides - 1864 - 262 pages
...in 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** on the two unequal parts are together double of the square on half the line, and of the square on the... | |
| Queensland. Department of Public Instruction - Education - 1866 - 332 pages
...Find a point in a straight line which shall be equally distant from two given points. 5. If a straight **line be divided into two equal, and also into two...unequal parts, the squares of the two unequal parts are** equal to double the squares of the half, and of the line between the points of section. 6. If a straight... | |
| Robert Potts - 1865 - 528 pages
...in. one straight line. Wherefore, if a straight lino, &c. QED PROPOSITION IX. THEOREM. lf a straight **line be divided into two equal, and also into two unequal parts ; the squares** on the two unequal parts are together double of the square on half the line, and of the square on the... | |
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