 | Royal Military College, Sandhurst - 1890 - 144 sider
...an expression for the number of factors a1, a2, a3, &c. II.— EUCLID AND TRIGONOMETRY. 1. Show that if a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. To what algebraical formula does this proposition correspond ? 2. Describe a... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...shall be equal to the square on a given straight line greater than half A B. 1 See p. 235. Ex. 505. — If a straight line be divided into any two parts, the rectangle contained by the diagonals of the squares on the whole line and one of the parts is equal to twice the rectangle contained... | |
 | Rupert Deakin - 1891 - 102 sider
...contained by the whole and each of the parts are together equal to the square on the. whole line. 3. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. 4. If a straight line be divided into any two parts, the square on the whole... | |
 | 1891 - 442 sider
...9. If a straight line be divided into any two parts, then 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 on the aforesaid part. Prove this proposition. ALGEBRA (GRADE II. ACADEMY.) SECTION I. 1. Find the... | |
 | Seth Thayer Stewart - 1891 - 428 sider
...follows, etc. Exercises, i. Parallelograms about the diagonals of a square are themselves squares. 2. If a straight line be divided into any two parts, the rectangle of the whole line and one of the parts is equal to the square of that part, together with the rectangle... | |
 | James Blaikie - 1892 - 74 sider
...line shall be equal to the sum of the rectangles contained by the whole line and each of the parts. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the square on that part, together with the rectangle contained... | |
 | Henry Martyn Taylor - 1893 - 486 sider
...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 sider
...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 sider
...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 sider
...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... | |
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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. 
