 | Henry Martyn Taylor - 1893 - 486 páginas
...BC, DC be equal to the squares on AB, AC respectively, the angle BAC is a right angle. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained... | |
 | Seth Thayer Stewart - 1893 - 262 páginas
...at 0, each = IL; .-., DE = E 0, and OH — HB (B. п., P. vIn.) ; and £^"and HG are Ds (P. Iv.). 2. If a straight line be divided into any two parts, the rectangle of the whole line and one of the parts equals the square of that part, together with rectangle of the... | |
 | Nathan Fellowes Dupuis - 1894 - 313 páginas
...the construction of 183° solves the problem, " To divide a given segment so that the rectangle on the whole and one of the parts is equal to the rectangle on the other part and the segment which is the sum of the whole and the first part." 11. Construct... | |
 | Henry Martyn Taylor - 1895 - 708 páginas
...BC, DC be equal to the squares on AB, AC respectively, the angle BAC is a right angle. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained... | |
 | Queensland. Department of Public Instruction - 1897 - 446 páginas
...together equal to two right angles. 6 5. Prove Eue. I. 20, without producing a side of the triangle. 7 6. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained... | |
 | Lawrence Robert Dicksee - 1897 - 122 páginas
...sides of a parallelogram is equal to the sum of the squares of its diagonals. Q. 6.—Prove that, if a line be divided into any two parts, the rectangle contained by the sum and difference of the two parts is equal to the difference of the squares on the two parts. Q.... | |
 | University of Sydney - 1898 - 548 páginas
...2. Shew how to bisect a given triangle by a line drawn through a given point in one side of it. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...b units, then AB = a + b units ; and we have (« + bf PROPOSITION 3. THEOREM. If a straight line is divided into any two parts, the rectangle contained...by the whole and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. ACB Let the straight line... | |
 | 1901 - 548 páginas
...figure DFBH is equal in area to the parallelogram AH. either В.— BOOK II. (6) If a straight line is divided into any two parts, the rectangle contained...by the whole and one of the parts is equal to the square on that part, together with the rectangle contained by the two parts. If the point of division... | |
 | Euclid, Rupert Deakin - 1903 - 218 páginas
...and b denote the two parts of a line which contains a + 6 units of length. PROP. 3.— Theorem.— It a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the square on that part together with the rectangle contained... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
