| 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.... | |
| Charles Austin Hobbs - 1899 - 240 sider
...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... | |
| Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...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
...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
...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
...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
...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
...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... | |
| Charles Godfrey, Arthur Warry Siddons - 1903 - 355 sider
...and each of the parts. (Draw a figure.) Ex. 1O92. If a straight line is 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. (Draw a... | |
| Euclid - 1904 - 456 sider
...the figure and the leading points of Euclid-s proof. PROPOSITION 8. THEOREM. If a straight line is **divided into any two parts, four times the rectangle...the straight line which is made up of the whole and** the first named part. Let AB be divided at C. Produce AB to D, making BD equal to BC. Then shall four... | |
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