 | Education - 1852 - 512 pages
...rectilineal angle. SECTION II. — 1. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...part, together with the square of the other part. 2. To describe a square that shall be equal to a given rectilineal figure. 3. If AB, the hypothenuse... | |
 | Euclides - 1852 - 152 pages
...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, CB, and to twice the rectangle contained by AC,... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...sides which contain the right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...part, together with the square of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do not both pass through the... | |
 | Euclides - Geometry - 1853 - 334 pages
...whole line and of one of the parts shall be, equal to twice the rectangle contained by the whole line and that part, together with the square of the other...the straight line AB be divided into any two parts AC, CB in c. Then the squares of AB, BC shall be equal to twice the rectangle contained by AB, BC together... | |
 | Euclides - 1853 - 146 pages
...straight line, &c. QED PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by tke whole and that part, together with the square of the other part. Let the straight line AB be divided... | |
 | Euclides - Geometry - 1853 - 176 pages
...is equal to the squares oftíie two parts, togetlwr with twice the rectangle contained by the parts. LET the 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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, CB, and to twice the rectangle contained by AC,... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole...part, together with the square of the other part. With the same construction as in (44), and in the same manner it may be shewn, that BCGK, and HGFD,... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...THEOREM. If a straight line (AB) be divided into any two parts (in C), the squares of the whole lint, and of one of the parts, are equal to twice the rectangle contained by the whole and Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See Diagram,... | |
 | Euclides - 1855 - 270 pages
...square of СD. Р B, O P. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...the straight line AB be divided into any two parts at the point С. The squares of AB and B С are equal to twice the д ев rectangle AB. B С, together... | |
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If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
