 | University of Oxford - Greek language - 1879 - 412 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...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.... | |
 | 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...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.... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...times rect. AB, BC and sq. on AC _sum of the eight rectangles and XH II. II. PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the tu'o unequal parts ore together double of the square on half the line and of th, square on the line... | |
 | Edward Harri Mathews - 1879 - 94 pages
...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... | |
 | 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... | |
 | 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... | |
 | 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...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.... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 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...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 pointt of section.... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...To combine 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...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 line between the points... | |
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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. 
