| Education - 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... | |
| Euclid, Rupert Deakin - Euclid's Elements - 1903 - 164 pages
...(a + 6)2 + 62 = 2 (a + 6) 6 + a2, where a denotes AC, and 6 denotes CB. PROP. B.— Theorem.— It **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 line made up of the whole and that part. Let the straight... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...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 - Euclid's Elements - 1904 - 456 pages
...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...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... | |
| 1906
...answers to Q.'s 24, 2f,, 26. Q. 21. Show how to divide a given straight lino 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. If A, B, C be three given straight lines, show how to... | |
| David Eugene Smith - Mathematics - 1923 - 175 pages
...two lines or two numbers. He also seems to have been able to divide a line into two parts such that **the rectangle contained by the whole line and one of the parts** is equal to the square on the other part. Expressed algebraically, if a is the length of the line and... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1861
...from the opposite angle and the angle aforesaid. 7. If a straight lino be divided into any two parts **the rectangle contained by the whole line and one...with the square of the other part is equal to the** rectangle contained by the whole line and the latter part together with the square of the former part.... | |
| Olaus Henrici - Congruences (Geometry) - 1888 - 188 pages
...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... | |
| University of Bombay - 1907
...equal area, their sides are equal and conversely. 3. Divide a straight line into two parts such that **the rectangle contained by the whole line and one of the parts** shall be equal to the square on the other part. Divide a given straight line into two parts such that... | |
| |