 | Queensland. Department of Public Instruction - 1866 - 336 sider
...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 sider
...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... | |
 | 1865 - 128 sider
...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 sider
...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 of the square of the line between the points of lection. (Reference... | |
 | 1865 - 132 sider
...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 sider
...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 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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...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... | |
 | James Maurice Wilson - 1868 - 132 sider
...lines is equivalent to the difference of the squares on those lines 61 THEOREM 28. If a straight line be divided into two equal and also into two unequal...parts are together double of the square of half the Hue bisected, and the square on the line made up of the half and the part produced ........ 62 THEOREM... | |
 | Euclides - 1870 - 270 sider
...the extraction of the Square root. PROP. 9. — THBOB. If a st. line be divided into two equal parts, and also into two •unequal parts, the squares of the two unequal parts are togetJier double of the square of the half line and of the square of the line between the points of... | |
 | Cambridge univ, exam. papers - 1870 - 272 sider
...If the diagonals of a quadrilateral bisect one another, it is a parallelogram. 2. 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... | |
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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. 
