 | Euclides - 1856 - 168 pages
...of a square are likewise squares. L. — EUCLID II. 5. 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 section, is equal to the square of half the line. Let the straight... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...times that on one of the sides; compare the two sides. 4. 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 section is equal to the square of half the line. State this result... | |
 | 1857 - 408 pages
...the other two sides of it, the angle contained by these two sides is a right angle. 5. If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle contained by the unequal parts, together with the square of the line between the points of... | |
 | War office - 1858 - 578 pages
...loses 18 per cent, on what the horse cost him ; what was the original cost? Euclid. 1. If a straight line be divided into two equal parts, and also into...contained by the unequal parts, together with the square of the line between the points of section is equal to the square of half the line. 2. Equal straight... | |
 | Euclides - 1858 - 248 pages
...to various operations connected with the extraction of the Square root. PROP. 9. — THEOR. If a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square... | |
 | Euclides - 1858 - 134 pages
...Лx. 1. Conc. l ¡î.'1'ЯP. AIij. ,f AriIh. Hyp. Л l,l. РВОР. IX. PROP. IX. TUEUR. //' a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square... | |
 | Education - 1859 - 412 pages
...triangle. 8. Bisect a parallelogram by a line drawn through a given point within the figure. 9. If a line be divided into two equal parts and also into...unequal parts, the rectangle contained by the unequal paits, together with the square of the line between the points of section, is equal to the square of... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...income, and what the expenditure of each. Euclid. 1. 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 section, is equal to the square of half the line. 2. Describe a square... | |
 | Euclides - 1860 - 288 pages
...parallelograms about the diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| If a straight line be divided into two equal parts, and also into...section, is equal to the square on half the line. Given the straight line AB, divided into two equal parts in the point C, and into two unequal parts... | |
 | Royal college of surgeons of England - 1860 - 336 pages
...to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into...contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 9. Describe a square... | |
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If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 
