 | 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 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 - 1864 - 448 pages
...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 two unequal parts ; the squares on the two unequal parts are torJether double of the square on half the line, and of the square on... | |
 | Euclides - 1864 - 262 pages
...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 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... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...Find a point in a straight line which shall be equally distant from two given points. 5. If a straight line be divided into two equal, and also into two...unequal parts, the squares of the two unequal parts are equal to double the squares of the half, and of the line between the points of section. 6. If a straight... | |
 | Robert Potts - 1865 - 528 pages
...in. one straight line. Wherefore, if a straight lino, &c. QED PROPOSITION IX. THEOREM. lf 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... | |
 | Mathematics - 1865 - 132 pages
...geometrically, in the following form, which is analogous to that of Euclid II. 5. If a circular arc be divided into two equal and also into two unequal parts, the rectangle contained by the chords of the two unequal arcs, together with the square on the chord of... | |
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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 line between the points of section. 
