 | Alexander Hadden Hutchinson - 1861 - 100 sider
...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... | |
 | Euclides - 1862
...added 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... | |
 | Robert Potts - 1863
...find the greatest length inside his scull which a bullet might traverse without killing him. 11. 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 square of the line between the points of section. Shew that 3 times... | |
 | University of Oxford - 1863
...to three given straight lines, but any two whatever of these must be greater than the third. 5. 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
...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 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
...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 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... | |
 | Simon Somerville Laurie - 1865 - 401 sider
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into two equal and also...square of the line between the points of section. If the point which, in this proposition, divides the lino into two unequal parts, be taken in the line... | |
 | Queensland. Department of Public Instruction - 1866
...angle. 4. 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...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... | |
 | Euclides - 1865
...added 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 •quare of half the line, and... | |
 | 1865
...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. 
