 | Henry Martyn Taylor - 1895 - 708 σελίδες
...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 - 1897 - 446 σελίδες
...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 σελίδες
...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.... | |
 | Charles Austin Hobbs - 1899 - 266 σελίδες
...produced and the part of it produced together with the square on half the line bisected is equivalent to the square on the straight line which is made up of the half and the part produced. 608. If a straight line is bisected and produced to any point, the sum... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 σελίδες
...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...the straight line which is made up of the whole and the first named part. BC. Let AB be divided at C. Produce AB to D, making BD equal to BC Then shall... | |
 | Manitoba. Department of Education - 1900 - 558 σελίδες
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 6. The square on the sum of two unequal straight lines is greater than... | |
 | 1900 - 166 σελίδες
...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... | |
 | 1901 - 548 σελίδες
...about the diagonal of a rhombus is a rhombus. (5) Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Show that there may be two points of division. (6) Equal... | |
 | 1902 - 482 σελίδες
...Inspector. Mr. HUGHES, District Inspector. i SECTION A. 1. Divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without a circle two straight lines... | |
 | 1903 - 188 σελίδες
...the whole line thus produced and the part of it produced, and the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 4. Prove that the locus of a point, whose distance from one of two fixed... | |
| |
If 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... 
