 | Civil service - 1878 - 228 pages
...parallelogram with the middle points of either pair of opposite sides will trisect the other diagonal. 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... | |
 | Moffatt and Paige - 1879 - 378 pages
...E. That is, square on semi-diameter is half of the whole square. SECTION IV. (Three Questions.) 1. 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... | |
 | Moffatt and Paige - 1879 - 506 pages
...added together in one straight line. Therefore, if a straight line, etc. 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 together double of the square on half the line and of the square on the... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...their other angles shall be equal, each to each, namely those to which the equal sides are opposite. 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... | |
 | Euclides - 1879 - 146 pages
...Now BC contains a — x units, hence the analogous result is established.] 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 together double of the square on half the line, and of the square on the... | |
 | Edward Harri Mathews - 1879 - 94 pages
...from the sides taken in order ; show that a, b, c, d, are the angular points of another parallelogram. 2. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the two unequal parts, together with the square of the line between the points... | |
 | Joseph Wollman - 1879 - 120 pages
...square on BC is 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
...joining the 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
...14. Show how 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... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...right angle. 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... | |
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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. 
