| Euclid, Thomas Tate - 1849 - 120 Seiten
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line, which is made up of the** half and the part produced. Let the straight line AB be bisected in c, and produced to the point D... | |
| Great Britain. Committee on Education - 1850 - 790 Seiten
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half, and the part produced. 2. If a point be taken within a circle from which there tall more than... | |
| 1850 - 488 Seiten
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half and the part produced. SECTION IV. 1. If two circles cut each other they shall not have the same... | |
| 1867 - 336 Seiten
...cannot be less than twice their rectangle. 3. If a straight line be divided into any two parts, four **times the rectangle contained by the whole line and...other part, is equal to the square of the straight** liue which is made up of the whole and that part. Prove this also algebraically. SECTION VI. 1. If... | |
| 1852 - 314 Seiten
...rectangle contained by the whole line thus produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half and the part produced. ANSWERS TO THE EXAMINATION PAPER ON SCHOOL MANAGEMENT* (CONTINUED FROM... | |
| Euclides - 1852 - 152 Seiten
...produced, and the part of it produced, together with the square of half the line bisected, is eqaul **to the square of the straight line which is made up of the** half and the part produced. Let the straight line AB be bisected in C, and produced to the point D;... | |
| Royal Military Academy, Woolwich - 1853 - 400 Seiten
...straight line, etc. QED PROPOSITION VIII. THEOR. If a straight line be divided into any two parts, four **times the rectangle contained by the whole line, and...to the square of the straight line, which is made** of the whole and that part. Let the straight line AB be divided into any two parts in the point C ;... | |
| Euclides - 1853 - 178 Seiten
...and difference. 7. If a straight line be divided into five equal parts, the square of the whole line **is equal to the square of the straight line which is made up of** four of those parts, together with the square of the straight line which is made up of three of those... | |
| Royal Military Academy, Woolwich - 1853 - 474 Seiten
...question in its literal meaning. 2. To divide a line of 20 inches in length into two parts such that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. Let x = the greater part ; then 20 — x = the less... | |
| Euclides - 1853 - 334 Seiten
...other part. Let AB be the given straight line. It is required to divide it into two such parts, that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. On AB describe (i. 46) the square ACDB ; and supposing... | |
| |