 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...  The Elements of Euclid - Page 34by Euclid - 1838 - 416 pagesFull view - About this book
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...equality, we shall have, .-. 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...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
...square of the straight line which is made up of the half and the part produced. PROP. VII. THEOREM. If a straight line be divided into any two parts, the...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. 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
...the same base and on the same side of it, are between the same 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... | |
 | Great Britain. Council on Education - Education - 1848 - 596 pages
...the same base, and on the same side of it, are between the same 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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. If a straight 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 and that part, together with... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...squares of the two parts, together with twice the rectangle contained hy the parts. 2. Show that if a straight 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 and that part together with... | |
 | 1851 - 268 pages
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts, the...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
...1. Parallelograms upon the same base and between the same parallels are 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 the rectangle contained by the whole and that... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 524 pages
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts, the...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... | |
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