| Nathan Fellowes Dupuis - 1889 - 294 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." r i. Construct... | |
| Royal Military College, Sandhurst - 1890 - 132 páginas
...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,...parts, together with the square on the aforesaid part.** To what algebraical formula does this proposition correspond ? 2. Describe a square that shall be equal... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...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 - 79 páginas
...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,...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 line is equal to the squares... | |
| 1891
...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...parts together with the square on the aforesaid part.** Prove this proposition. ALGEBRA (GRADE II. ACADEMY.) SECTION I. 1. Find the GCM of 9 (a2*5 - 4) and... | |
| Seth Thayer Stewart - 1891 - 406 páginas
...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
...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... | |
| Euclid - 1892 - 518 páginas
...+ &) a + (a + &) I. PROPOSITION 3. THEOREM. If a straight line is divided into any two parts, tlie **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. Let the straight line AB... | |
| Henry Martyn Taylor - 1893 - 504 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 - 225 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... | |
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