| Euclides - Geometry - 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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