If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line, which is... Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Page 109by Euclides - 1879Full view - About this book
| Civil service - 366 pages
...The quadrilateral figures whose diameters bisect each other is a parallelogram. BOOE IL PROP. VI. — **If a straight line be bisected and produced to any point, the** rectangle contained by the whole line thus produced, and the part of it produced, together with the... | |
| Joseph Charles Parkinson - 1860 - 154 pages
...quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PEOP. VI. — **If a straight line be bisected and produced to any point, the** rectangle contained by the whole line thus produced, and the part of it produced, together with the... | |
| Euclides - 1860 - 288 pages
...• DB = (BC + CD) (BC - CD), for BC + CD = AC + CD = AD, and BC- CD = DB. PROPOSITION VI. THEOBEM. **If a straight line be bisected, and produced to any point, the** rectangle contained by the whole line thus produced, and the part of it produced, together with the... | |
| Royal college of surgeons of England - 1860 - 332 pages
...equal. 4. Straight lines which are parallel to the same straight line are parallel to one another. 5. **If a straight line be bisected and produced to any point the** rectangle contained by the whole line thus produced and the part of it produced, together with the... | |
| War office - 1861 - 260 pages
...by the square root of 12'7449. MATHEMATICS. Morning Paper. REV. WN GRIFFIN, MA Voluntary Portion. 2. **If a straight line be bisected, and produced to any point, the** rectangle contained by the whole line thus produced and the part of it produced, together •with the... | |
| Euclides - 1862 - 172 pages
...squares of AI>f DB, are double of the square! of AC, CD. Therefore if a straight line, &c. QED PROP. **X.— THEOREM. If a straight line be bisected, and produced to any point;** then the square of the whole line thus produced, and the square of the part of it produced, are together... | |
| Euclides - 1862 - 140 pages
...unequal lines AC, CD, is equal to the rectangle contained by their sum and difference. PROPOSITION G.— **THEOREM. If a straight line be bisected, and produced to any point, the** rectangle contained by the whole line thus produced, ana, the part of it produced, together with the... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...are equal to one another, and the diameter bisects it, that is, divides it into two equal parts. 10. **If a straight line be bisected, and produced to any point, the** rectangle contained by the whole line thus produced and the part of it produced, together with the... | |
| Robert Potts - 1863 - 482 pages
...side of the ground and back to the other post: determine the shortest course for him to pursue. 5. **If a straight line be bisected and produced to any point ; the** rectangle contained by the whole line thus produced, ond the part of it produced, together with the... | |
| Henry White - 1864 - 156 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. **If a straight line be bisected, and produced to any point; the** rectangle contained by the whole line thus produced, and the part of it produced, together with the... | |
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