 | Euclides - 1853 - عدد الصفحات: 146
...difference. PROP. VI. — THEOREM. 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 tfie straight line which is made up of the half and the part produced. Let the straight line AB be... | |
 | Euclides - 1853 - عدد الصفحات: 334
...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 and the...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 - 1853 - عدد الصفحات: 176
...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 - 1853 - عدد الصفحات: 400
...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 - 1853 - عدد الصفحات: 176
...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.... | |
 | Euclides - 1855 - عدد الصفحات: 270
...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,... | |
 | John Playfair - 1855 - عدد الصفحات: 334
...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 - عدد الصفحات: 168
...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... | |
 | Cambridge univ, exam. papers - 1856 - عدد الصفحات: 252
...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.... | |
 | John Playfair - 1856 - عدد الصفحات: 346
...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, and the...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... | |
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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... 
