| Civil service - 366 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. PROP. **IX. — If a straight line be divided into two equal, and also into two** nnequal parts ; the squares of the two unequal parts are together double of the square of half the... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...added together 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** lmi unequal parts ; the squares on the two unequal parts are together double of the square «» half... | |
| Alexander Hadden Hutchinson - 1861 - 128 pages
...the right 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
...II. 1. 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
...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;** 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
...Bisect a given rectilineal angle. 5. Shew that two straight lines cannot have a common segment. 6. **If a straight line be divided into two equal, and...the squares on the two unequal parts are together** double of the square on half the line and of the square on the line between the points of section.... | |
| Euclides - 1864 - 448 pages
...added together in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. **If a straight line be divided into two equal, and...unequal parts ; the squares on the two unequal parts are** torJether double of the square on half the line, and of the square on the line between the points of... | |
| Euclides - 1864 - 262 pages
...the diameters of the squares on its two sides. 15. If a straight line be divided into two equal and **into two unequal parts, the squares on the two unequal parts are** equal to twice the rectangle contained by the two unequal parts, together with four times the square... | |
| Queensland. Department of Public Instruction - Education - 1866 - 332 pages
...angle. 4. 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... | |
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