 | Education - 1891 - 442 pages
...be equal to the square on the other part. 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.... | |
 | Euclid - Geometry - 1892 - 460 pages
...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, four...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... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...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, four...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.... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...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 - 74 pages
...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 - 486 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 - 708 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 - 446 pages
...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 - 548 pages
...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.... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 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... | |
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Iff 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... 
