 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...difference, together with four tunes their rectangle. PROP. VIII. THEOR. — If a straight line be divided into any two parts, four times the rectangle contained by the whole and one of the parts, together with the square of the other part, is equal to the square of the straight... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle...equal to the square of the straight line which is made up of the whole and the first-mentioned part. Let the straight line AB be divided into any two parts... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 line and the part produced. Let the str. line AB be bisected in C, and produced to D;... | |
 | Euclides - 1846 - 292 pages
...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. Let the straight line AB be bisected in C, and produced to D... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 line and the part produced. Let the str. line AB be bisected in C, and produced to D;... | |
 | Euclides - 1848 - 52 pages
...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 times the rectangle...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 pages
...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 times the rectangle...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... | |
 | Education - 1850 - 488 pages
...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... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...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... | |
 | 1867 - 336 pages
...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 times the rectangle...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... | |
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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... 
