 | 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 the are between the points... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 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... | |
 | Euclides - 1865 - 402 pages
...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 •quare of half the line, and... | |
 | Robert Potts - 1865 - 528 pages
...together 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... | |
 | John Playfair - Geometry - 1855 - 350 pages
...denoted by </ and b ; then, (u+4)1 PROP. V. THEOR. If a straight Itnelf divided into two equal parts, and also into two unequal parts } the rectangle contained...by the unequal parts, together with the square of tAt line between the points of section, is equal to the square of half the line. Let the straight line... | |
 | 1867 - 224 pages
...equal to three 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 unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the line made 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... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...three theorems may be used to demonstrate other properties of divided lines. For example, THEOREM 28. 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 bisected, and the... | |
 | James Maurice Wilson - 1869 - 260 pages
...lines is equivalent to the difference of the squares tin those lines 6l One Corollary. THEOREM 28. If a straight line be divided into two equal and also into two unequal segments, the squares of the two unequal segments are together double of the square of half the line... | |
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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 line between the points of section. 
