 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...difference. PROPOSITION VI. THEOR. If a straight line be bisected, and produced to any point, lJie rectangle contained by the whole line thus produced,...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 made up of the half... | |
 | Euclides - Geometry - 1853 - 176 pages
...THEOREM. If a straight line be bisected, and produced to any point, the rectangle contained by the whqle 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 made up of the half... | |
 | 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 - 284 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 - 270 pages
...the sum and the difference of the hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight line be bisected, and produced to any point, the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight Kne which is made up of the half... | |
 | John Playfair - Geometry - 1855 - 334 pages
...SCHOLIUM. PROP. VI THEOR. If a straight line be bisected, and produced to any point; the rectangle contamed 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 made up of the half... | |
 | Euclides - 1856 - 168 pages
...lines AC, CD is equal to the rectangle contained by their sum and difference. LI. If a straight line be bisected, and produced to any point, the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the square of the line made up of the half and the part produced.... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...other two sides of it; the angle contained by these two sides is a right angle. 5. If a right line be bisected, and produced to any point ; the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the square of the right line which is made up of the half and... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle...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 made up of the half... | |
 | Euclides - 1858 - 248 pages
...+4z+4= 12 + 4= 16 ; extracting the square root, z + 2=4 .-.x =2. PROP. 6. — THEOR. If a st. line be bisected and produced to any point, the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the square of the st. line which is made up of the half and... | |
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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... 
