 | Euclides - 1842 - 316 pages
...contained by their sum and difference. PROP. VI. THEOR. IF a straight line be bisected, and produced to any point : the rectangle contained by the whole line...together with the square of half the line bisected, is equivalent to the square of the straight line which is made up of the half and the part produced. Let... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first-mentioned part. Let the straight line AB be divided into any two parts in the point... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...rectangle contained by the whole and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the former part. Let the straight line AB be divided into any two parts in C ; four times... | |
 | Euclid - Geometry - 1845 - 218 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made of the whole and that part. Let the straight line AB be divided into any two parts in the point C ;... | |
 | Euclides - 1845 - 546 pages
...chord in the interior circle be produced either way to meet the circumference of the exterior circle, the rectangle contained by the whole line thus produced and the part produced, is a constant quantity. 103. If there be two concentric circles, and any chord of the greater... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...be + (a — &)«=a 2 ; or be + (c—a)> = a e . 62 Prop. Prop. HypProp. Prop. Cor. Prop. GEOMETRY. any point; the rectangle contained by the whole line...bisected in C, and produced to D; then AD. DB + CB* =CD'. E GF M Upon CD descr. sq. CEFD join DE. 29. f BHG II CE or DF, 43. Draw \ KLHM || AD or EF, AK || CL... | |
 | Euclides - 1846 - 292 pages
...contained by their sum and difference. PROP. VI. THEOR. If a straight line be bisected and produced to any point, the rectangle contained by the whole line...of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to D : the rectangle... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first-mentioned part. Let the straight line AB be divided into any two parts in the point... | |
 | Euclides - 1848 - 52 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. PROP. IX. THEOREM. If a straight line be divided into two equal, and also into... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...triangle, above the less, being given, to construct the triangle. 34. To produce a given line, so that the rectangle contained by the whole line thus produced, and the part of it produc.ed, shall be equal to a given square. 35. From the obtuse angle of an obtuse-angled triangle, to draw a... | |
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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... 
