 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC,... | |
 | Euclides - 1853 - 146 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...be divided into any two parts (А С, С В) the square of the wlak line is equal to the squares of the two parts, together with twice the rectangle contained by the parts : that is, А В1 = А С* + С Вг + twice А ОС В. * 46 I. Upon А В describe the square AE... | |
 | Allan Menzies - 1854 - 520 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. A modification of what you have here proved constitutes the rule for the extraction of the square root.... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...AC'^=DCxBC; therefore, AB*+Ad^BDxBC+DCxBCo(BD+DC)x that is, the square described on the hypothenuse BC is equivalent to the sum of the squares described on the two sides BA, A C. Thus, we again arrive at this property of the right•angled triangle, and by a path... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the two parts together with twice the rectangle* contained by the parts. QDEF. A rectangle is said to be contained by any two of its adjacent sides^."] * A rectangle has been... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...is, to CG x (AB+ DC) : and consequently, the trapezoid ABCD is equal to half that productTHEOREM XIIf a line be divided into two parts, the square described...squares described on the two parts, together with twict'the rectangle contained by the partsLet the line AB be divided into two parts at the point E:... | |
 | Euclides - 1855 - 270 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straig-ht line AB be divided into any two parts at С. square of AB is equal to the squares of A С... | |
 | 1855 - 264 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 6. In every triangle, the square of the side suhtending either of the acute angles is less than the... | |
 | Euclides - 1856 - 168 pages
...straight line be divided into any two parts the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB (Fig. 39) be divided into any two parts in C. The square of AB is equal to the squares... | |
| |
If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
