| Euclides - 1853 - 146 pages
...contained by theif sum and difference. PROP. VI. — THEOREM. If a. straight line be bisected, and produced to any point, the rectangle contained by...half the line bisected, is equal to the square of tfie straight line which is made up of the half and the part produced. Let the straight line AB be... | |
| Euclides - Geometry - 1853 - 334 pages
...was to be proved. PEOP. VI. THEOE. If a straight line be bisected, and produced to any point : then the rectangle contained by the whole line thus produced...it produced, together with the square of half the bisected line, shall be equal to the square of the line, which is made up of the half and the part... | |
| Euclides - Geometry - 1853 - 178 pages
...and difference. 7. If a straight line be divided into five equal parts, the square of the whole line is equal to the square of the straight line which is made up of four of those parts, together with the square of the straight line which is made up of three of those... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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 ;... | |
| Euclid - Geometry - 1853 - 176 pages
...part, to• gether with the square on <• half the line bisected, is equal in area to the square on the straight line which is made up of the half and the produced part. 11.10.. . II. 11, cor. II. 4, cor. 2.. . II. 1. . II. l.cor. II. 5, schol. 2. . II.... | |
| William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle... | |
| Cambridge univ, exam. papers - 1854 - 282 pages
...shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle... | |
| Euclides - 1855 - 262 pages
...difference of the hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight line be bisected, and produced to any point, the rectangle contained by...line bisected, is equal to the square of the straight Kne which is made up of the half and the part produced. Let the straight line AB he bisected at C,... | |
| John Playfair - Geometry - 1855 - 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 vp of the whole and thefirst-mentioned part. Let the straight line AB be divided into any two parts... | |
| Euclides - 1856 - 168 pages
...equal to the rectangle contained by their sum and difference. LI. If a straight line be bisected, and produced to any point, the rectangle contained by...half the line bisected, is equal to the square of the line made up of the half and the part produced. Let AB (Fig. 41) be bisected in C, and produced to... | |
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