 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...given rectilineal angle. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. VOLUNTARY PORTION. 1. If the sides of two triangles, about each of their angles, be proportionals,... | |
 | Euclides - 1860 - 288 σελίδες
...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...square on the line between the points of section. Given the straight line AB, divided at the point C into two equal, and at D into two unequal parts... | |
 | Robert Potts - 1860 - 380 σελίδες
...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 the line, and of the square on the line between the points of section. Let the straight line... | |
 | War office - 1861 - 260 σελίδες
...sides be equal each to each. 2. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 3. If a straight line drawn through the centre of a circle cut at right angles a straight line which... | |
 | Euclides - 1862 - 172 σελίδες
...section, is equal to the square of half the line. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D. Then the rectangle AD, DB, together with the square of CD, shall be equal to the square... | |
 | Euclides - 1862 - 140 σελίδες
...straight line be divided into tico equal, and also into tiro unequal pijrts, the squares on the tiro unequal parts are together double of the square on half the line, and of the square on tht line between the points of section. equal parts in the point C, and into two unequal parts in the... | |
 | University of Oxford - 1863 - 316 σελίδες
...greater than the third. 6. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 7. From a given point draw a straight line equal to a given straight line. 8. In any right-angled triangle,... | |
 | Robert Potts - 1865 - 528 σελίδες
...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...between the points of section. Let the straight line AB\,Q divided into two equal parts in the point C, and into two unequal parts in the point D. Then... | |
 | Euclides - 1865 - 402 σελίδες
...square on the straight line which is made up of the half and the part produced . . . . . . n. 6. 3. The squares on the two unequal parts are together...square on half the line, and of the square on the intermediate part ......... 1.9. 4. If a straight line be bisected and produced to any point, the square... | |
 | John Playfair - 1855 - 350 σελίδες
...with the square of tAt line between the points of section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal pans in the point D ; the rectangle AD.DB, together with the square of CD, is equal to the square of... | |
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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. Let the straight line AB... 
