 | Robert Potts - Geometry, Plane - 1876 - 446 pages
...or a* = m* + 2nn + n*. That is, if a number be divided into any two parts, the square of the number is equal to the squares of the two parts together with twice the product of the two parts. From Euc. n. 4, may be deduced a proof of Euc. i. 47. In the fig. take DL... | |
 | Francis Cuthbertson (geometer.) - 1876 - 102 pages
...straight line be divided into any two parts, the square on the whole line will be equal to the squares on the two parts, together with twice the rectangle contained by the parts. _& s: nr JS Let the straight line PQ be divided into any two parts in C. Then shall the square on PQ... | |
 | Richard Wormell - 1876 - 268 pages
...If a line be divided into two parts, the square on the whole is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let А В be divided into two parts in С ; then the square on А В = the sum of the squares on А... | |
 | Henry Major - 1876 - 784 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and... | |
 | 1876 - 710 pages
...equal in area to a regular hexagon whose side — ' 4. 5. If a straight line be divided into two equal parts the square of the whole line is equal to the squares ot the two pans together with twice the rectangle contained by the two parts. Give the algebraical... | |
 | Edward Atkins - 1876 - 130 pages
...line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight lino AB be divided into any two parts in C ; The square On AB shall be equal to the... | |
 | Elias Loomis - Geometry - 1877 - 458 pages
...middle points of the sides which are not parallel. PROPOSITION VIII. THEOREM. If a straight line is divided into any two parts, the square of the whole line is equivalent to the squares of the two parts, together with twice the rectangle contained by the parts.... | |
 | Scotland free church - 134 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 4. Parallelograms upon equal bases and between the same parallels are equal to one another. 5. Describe... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...because AB=BD. Therefore AB"=AB. AC+AB.CB. PROPOSITION XVI.—THEOREM. If a straight line be divided into two parts, the square of the whole line is equal to the sum of the squares of the parts and twice the rectangle contained by the parts. Let AB be a straight... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...AE-AD+CE; AE = AB.BE=AB.BC; AD-AC.CD = AC.CB, CE= CB\ AB.BC-AC.CB+CB\ Proposition 4. Theorem. — If a straight line be divided into any two parts, the...together with twice the rectangle contained by the two part*. Let the straight line AB be divided into any two parts in C; then will . CB. Upon AB describe... | |
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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. 
