 | 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
...other leg. PEOP. VI. THEOBEM ya ttraight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the...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,... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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, and the...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.... | |
 | Euclides - 1856 - 168 pages
...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 and the...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... | |
 | 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, and the...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
...2=4 .-.x =2. PROP. 6. — THEOR. If a st. line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the...half the line bisected, is equal to the square of the st. line which is made up of the half and the part produced. CONS.— 46. I., Pst. 1, and 31. I. DBM.—... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 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 line and that part. In obtuse angled triangles, if a perpendicular be drawn from either of the... | |
 | 1858 - 398 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, and the part of it produced, together witli the square of half the line bisected, is equal to the square of the straight line which is made... | |
 | Euclides - 1858 - 136 pages
...V. Bootc IT. Pnot.. VI. THEOR. If u st. Um; be bisecti;d and produced to any poiiti, the rectangle contained by the whole line thus produced and the part of it produced, toyether with the square of half the line bisrcted, is equal la ihe square of the st. line which is... | |
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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 made... 
