 | William Trail - 1796 - 334 sider
...PROP. PROP. I. To divide a given Jlraight line AB into two parts, fo that the rectangle contained by the -whole line, and one of the parts, may be equal to thefquare of the other part. This is Prop. i ith II. B. of Euclid. e ~-~ ACB Let C be the point of... | |
 | Euclides - 1840 - 82 sider
.... PROP. XI. PROB. To divide a given straight line in such a manner that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. rtl PROP. XII. THEOR. In an obtuse-angled triangle, the square of the side subtending... | |
 | Euclides - 1840 - 192 sider
...PROP. XI. PROB. To divide a given straight line (AB) in such a manner that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. Upon AB construct the square ACDB ; bisect AC in E ; join EB, and produce CA towards... | |
 | Scotland free church, gen. assembly - 1847 - 554 sider
...sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. 4. The angle in a semicircle is a right angle. 5. Of unequal chords in a circle... | |
 | Royal college of surgeons of England - 1860 - 332 sider
...part produced. 8. Divide a given straight line into two parts, such that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. PRELIMINARY GENERAL EXAMINATION. Christmas, 1864. WEDNESDAY, December 21sf.— Afternoon,... | |
 | War office - 1861 - 714 sider
...the proof. 3. To divide a straight line into two parte so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. If a straight line touch a circle and from the point of contact a straight line be drawn at right... | |
 | University of Oxford - 1863 - 316 sider
...section. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 10. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the... | |
 | 1867 - 224 sider
...over. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 9. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...straight line : it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. On AB describe the square «,, ,r ABDC; [I.46. bisect AC at E; [I. 10. join BE • produce CA to F,... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...straight line : it is required to divide it into two parts, to that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. On AB describe the square ABDC; [I. 46. bisect^ C at E; [I. 10. join BE ; produce CA to F, and make... | |
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To divide a. given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 
