| Euclides - 1858 - 248 σελίδες
...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...the squares of the two unequal parts are together equal to twice the rectangle contained by these parts, together with four tunes the square of the line... | |
| Euclides - 1858 - 136 σελίδες
...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...unequal parts are together double of the square of the half line and of the square of the line between the points of section. Cos. II. 1, 3. I, m. 1.... | |
| Thomas Stantial - 1859 - 352 σελίδες
...the square of 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 between... | |
| Sandhurst roy. military coll - 1859 - 672 σελίδες
...finds himself 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 σελίδες
...on CB, the 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 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... | |
| Civil service - 366 σελίδες
...the squares of the two parts, together with twice the rectangle contained by the parts. PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares of the two unequal parts are together double of the square of half the... | |
| Robert Potts - 1860 - 380 σελίδες
...added together in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into lmi unequal parts ; the squares on the two unequal parts are together double of the square «» half... | |
| War office - 1861 - 714 σελίδες
...sides of the one shall be equal to the angle contained by the two sides, equal to them of the other. 2. If a straight line be divided into two equal and also...of the two unequal parts are together double of the squares of half the line, and of the line between the points of section. VOLUNTARY PORTION. 1. Inscribe... | |
| Alexander Hadden Hutchinson - 1861 - 128 σελίδες
...the right 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 σελίδες
...II. 1. 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... | |
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