 | Euclides - 1853 - 176 pages
...into any two parts, the square of the whole line is equal to the squares oftíie two parts, togetlwr with twice the rectangle contained by the parts. LET...straight line ab be divided into any two parts in С ', the square of ab is equal to the squares of a С, С b, and to twice the rectangle contained... | |
 | Euclides - 1853 - 146 pages
...IV. THEOREM. 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. 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares... | |
 | Euclides - Geometry - 1853 - 334 pages
...If a straight line be divided into any two parts: then the square of the whole line shall be equal to the squares of the two parts together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts AC, CB in c. Then the square of AB... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...rectangles contained by the whole and each of the parts are together equal to the square of the whole line. Let the straight line AB be divided into any two parts in the point C ; the rectangle contained by AB, BC, together with the rectangle* AB, AC, shall be equal... | |
 | Euclid - Geometry - 1853 - 176 pages
...then (a) I. 46. (6 VI. 31. (c) Constr. (/) I. 34. a'2 = am -f- a n. PROPOSITION III. THEOREM. — If a straight line (AB) be divided into any two parts (in C), the rectangle under the whole line (AB) and one of those parts (CB) is equal in area to the square on that... | |
 | Allan Menzies - 1854 - 520 pages
...evaded. 3. 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. A modification of what you have here proved constitutes the rule for the extraction of the square root.... | |
 | William Somerville Orr - Science - 1854 - 532 pages
...straight line (AB) 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... | |
 | Thomas Lund - Geometry - 1854 - 522 pages
...a straight 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... | |
 | Euclides - 1855 - 262 pages
...IV. THEOREM. 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 straig-ht line AB be divided into any two parts at С. square of AB is equal to the squares of A С and С B, together with twice the rectangle AС.СB.... | |
 | 1855 - 264 pages
...third side' 5. 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. 6. In every triangle, the square of the side suhtending either of the acute angles is less than the... | |
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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. 
