 | Joseph Wollman - 1879 - 120 pages
...less than four times the square on AD, the triangle ABC is an acute-angled triangle. 3. 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 on the line between the points of... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...middle points the diagonals. From (II. 9) Add and apply (II. 4, Cor. 2) and (II. 9). 6. 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... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...to describe a square that shall be equal to a given rectilineal figure. Deductions. 1. If a straight line be divided into two equal, and also into two unequal parts, the part between the points of section is •equal to half the difference of the unequal parts. 2. If the... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...-3010300 loglo 3 = -4771213 log,07 = -8450980 Iog10 1-627 = -2118930 TT = 3-1416. 1. If a straight line bo divided into two equal, and also into two unequal...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.... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...Give a geometrical construction for a square three times as great as a given square. 4. 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 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 together double of the square on half the line and of the square on the... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...these conclusions is the proof of the Proposition itself (as in 5). r PROP. IX. THEOREM. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts art together double of the square on half the line and of the square on the... | |
 | Moffatt and Paige - 1881 - 176 pages
...together equal to the square on the whole line. Give the corresponding result in Algebra. 3. 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... | |
 | Education, Higher - 1883 - 536 pages
...rectangle, the squares on PA and PC are together equal to the squares on PB and PD. 5. If a rectangle be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...advised not to confine themselves to one paper, but to make use of the whole set. 1. If a straight line be divided into two equal, and also into two...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.... | |
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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. 
