 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...i(2a+6)+o2=(a+i)2. PROP. VII. THEOR. •• If a straight line be divided into 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. L et the straight line AB be divided into any two parts in the point C ; the squares of AB, BC, are... | |
 | Euclides - 1848 - 52 pages
...the part produced. 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...part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained... | |
 | Great Britain. Council on Education - Education - 1848 - 596 pages
...parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. •>. If two circles cut each other,... | |
 | Great Britain. Committee on Education - 1848 - 606 pages
...parallels. Section 5. 1. If a right line be divided into any two parls, the squr.res of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. i. If two circles cut each other, they... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. 2. If two circles cut each other, they... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...equivalent 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 on AB is equivalent to the squares on AC, CB, together with twice the rectangle contained... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...equal (i. 5.) to the angle ABD, because BA is equal to AD, being aides of a square; wherefore the angle 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, together with twice the rectangle contained... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...the whole line. 2. If a right line be divided into any two parte, the squares of the whole 1 ine and one of the parts, are equal to twice the rectangle contained by the whole and that part, together witli the square of the other part. 3. To describe a square that shall be equal to a given rectilineal... | |
 | 1851 - 268 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 II. 1. If in a circle two straight lines cut one another, which do not both pass through the... | |
 | 582 pages
...equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line, and of one of the parts, are equal to twice...part, together with the square of the other part. 3. The angles in the same segment of a circle are equal to one another. 4. Upon a given straight line-... | |
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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... 
