| 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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