 | Euclides - 1858 - 248 pages
...of the diagonals of a parallelogram are together equal to the squares of the four sides. 6. If a st. line be divided into two equal and also into two unequal parts, the squares of the two unequal parts are together equal to twice the rectangle contained by these parts, together... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...two parts, together with twice the rectangle contained by the parts. 6. PROP. IX. — 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... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...the whole line is equal to the squares of the two parts and twice their rectangle. B. " If a straight line be. divided into two equal and also into two unequal parts, the squares of the unequal parts are together double of the square of half the line, and of the square of the line... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...2,2001. in debt. What was the annual 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... | |
 | Euclides - 1860 - 288 pages
...square on any line is quadruple of the square on half that line. PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two...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.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the diameters of the squares on its two sides. 15. If a straight line be divided into two equal and into two unequal parts, the squares on the two unequal parts are equal to twice the rectangle contained by the two unequal parts, together with four times the square... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...angle is equal to the squares described upon the sides which contain the right angle. 2. 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 cf the line between the points of... | |
 | War office - 1861 - 260 pages
...Parallelograms upon the same base and between the same parallels are equal to one another. 2. 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... | |
 | Euclides - 1862 - 172 pages
...together In one straight line. Wherefore, if a straight line, &c. QED PROP. IX.— THEOREM. If a straight line be divided into two equal and also into two unequal parts; then the squares of the two unequal parts are together double of the square of half the line, and of... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...the square on the straight line which is made up of the half and the part produced. 9. If a straight line be divided into two equal, and also into two...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.... | |
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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. 
