 | Euclides - 1848 - 52 sider
...contained by the whole and that part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four...to the square of the straight line, which is made up of the whole and that part. PROP. IX. THEOREM. If a straight line be divided into two equal, and... | |
 | Euclid, Thomas Tate - 1849 - 120 sider
...AB, BC, together with the squares of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. If a straight line be divided into any two parts, four...equal to the square of the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point... | |
 | Great Britain. Committee on Education - 1850 - 790 sider
...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, and the part produced. 2. If a point be taken within a circle from which there tall... | |
 | 1850 - 488 sider
...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 and the part produced. SECTION IV. 1. If two circles cut each other they shall not have... | |
 | 1867 - 336 sider
...geometrically that the sum of the squares of two lines cannot be less than twice their rectangle. 3. If a straight line be divided into any two parts, four...other part, is equal to the square of the straight liue which is made up of the whole and that part. Prove this also algebraically. SECTION VI. 1. If... | |
 | 1852 - 316 sider
...rectangle contained by the whole line thus 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 and the part produced. ANSWERS TO THE EXAMINATION PAPER ON SCHOOL MANAGEMENT* (CONTINUED... | |
 | Euclides - 1852 - 152 sider
...other in this Proposition are equal to the two squares AE and kc added together.] PROP. VIII. THEOR. If a straight line be divided into any two parts, four...to the square of the straight line, which is made up of the whole and that part. [This Proposition may advantageously be omitted at the first time of... | |
 | Euclides - 1853 - 146 sider
...BC, together with the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOREM. If a straight line be divided into any two parts, four...equal to the square of the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...together with the square of AC. Wherefore, if a straight line, etc. QED PROPOSITION VIII. THEOR. If a straight line be divided into any two parts, four...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 - 1853 - 176 sider
...together with the square of a С. Wherefore, if a straight line, &c. QED PROPOSITION VIII. — THEOREM. If a straight line be divided into any two parts, four...equal to the square of the straight line which is made up of the whole and that part, LET the straight line ab be divided into any two parts in the point... | |
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If a straight line be divided into any two parts, four times the 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 and that... 
