 | 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.... | |
 | 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 ;... | |
 | Euclides - 1855 - 270 pages
...hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced,...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
...contained by their sum and difference. LI. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...by these two sides is a right angle. 5. If a right line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...half the line bisected, is equal to the square of the right line which is made up of the half and the part produced. Prove this proposition algebraically.... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...squares / £ / It E Cr I PROP. VI THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...the square of half the line bisected, is equal to t/u; square of the straight line which is made up of the half and the part produced. Let the straight... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced,...which is made up of the half and the part produced. 8. PROP. XII. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles... | |
 | War office - 1858 - 578 pages
...straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, together with the square of half the line...which is made up of the half and the part produced. 2. Draw a straight line from a given point, either without or in the circumference, which shall touch... | |
 | Euclides - 1858 - 248 pages
...to the less. Psts. 1 and 2. DEM. — 6. II. If a st. line be bisected and produced to any point, the rectangle contained by the whole line thus produced...half the line bisected, is equal to the square of the st. line which is made up of the half and of the part produced. 47. I. Iu any rt. angled triangle,... | |
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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 on half the line bisected, is equal to the square on the straight line which is... 
