| Robert Potts - Geometry - 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 - 700 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 - Conic sections - 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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