| 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 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 - 336 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... | |
| Robert Potts - 1865 - 528 pages
...the diameters of the squares on its two sides. 17. 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... | |
| Mathematics - 1865 - 132 pages
...geometrically, in the following form, which is analogous to that of Euclid II. 5. If a circular arc be divided into two equal and also into two unequal parts, the rectangle contained by the chords of the two unequal arcs, together with the square on the chord of... | |
| Euclides - 1865 - 402 pages
...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 •quare of half the line, and... | |
| 1865 - 128 pages
...geometrically, in the following form, which is analogous to that of Euclid II. 5. If a circular arc be divided into two equal and also into two unequal parts, the rectangle contained by the chords of the two unequal arcs, together with the square on the chord of... | |
| 1867 - 224 pages
...given straight lines, but any two whatever of these must be greater than the third. 5. If a straight line be divided into two equal, and also into two...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.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...of AB and BC together. Wherefore, if a straight line &c. QED PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two...unequal parts, the squares on the two unequal parts are t 'gather double of the square on half the line and of the square on the line between the points of... | |
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