| Moffatt and Paige - 1879 - 506 pages
...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... | |
| Edward Harri Mathews - 1879 - 94 pages
...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... | |
| 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... | |
| Joseph Wollman - 1879 - 120 pages
...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
...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... | |
| 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...square of the line between the points of section.** Write down the corresponding algebraical formula. 2. The diameter is the greatest straight line in... | |
| 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... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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 together double of the square on half the line and of the square on the... | |
| Moffatt and Paige - 1881 - 176 pages
...to the rectangle contained by the two parts, together with the square on the aforesaid part. 2. 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... | |
| |