| James Andrew Blaikie, William Thomson - Geometry - 1892
...and that part, together with the square on the other part. Enunciations of Euclid, Book II. 181 8. **If a straight line be divided into any two parts,...line and one of the parts, together with the square** on the other part, shall be equal to the square on the line made up of the whole and the first part.... | |
| Euclid - Geometry - 1892 - 518 pages
...Let AB = a, and BC = 6; thenAC = ii-6. Hence we have a2 + 62 = 2a6 + (a - b)\ PROPOSITION 8. THEOREM. **If a straight line be divided into any two parts,...line and one of the parts, together with the square** on the other part, is equal to the square on the straight line which is made up of the whole and that... | |
| Queensland. Department of Public Instruction - Education - 1892
...half and the part produced. 4. If a straight line be divided into any two parts, four 12 times tho **rectangle contained by the whole line and one of the parts, together with the square** on the other part, is equftl to tin1 square on the straight line which is made up of the whole and... | |
| James Blaikie - 1892
...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 by the parts. 4. If... | |
| Henry Martyn Taylor - 1893 - 504 pages
...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 by the two parts*. Let the... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 657 pages
...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 by the two parts*. Let the... | |
| Queensland. Department of Public Instruction - Education - 1897
...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 by the two parts. 8 7. If... | |
| University of Sydney - 1898
...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 on the aforesaid part.... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...points of Euclid's proof. PROPOSITION 8. THEOREM. If a straight line, is divided into any two jmrts, **four times the rectangle contained by the whole line and one of the parts, together with the square** on the other part, is equal to the square on the straight line which is made up of the whole and the... | |
| 1900
...series -i._,.— + , 2 2* 2* 2* 6. Shew how to divide a given straight line into two parts so that **the rectangle contained by the whole line and one of the parts** shall be equal (i.) to the square, (ii.) to double of the square on the other part. 7. Prove that if... | |
| |