 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...preceding proposition is usually incorporated in the proof of the Fourth Proposition. PBOPOSITION IV. If a right line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the parts together with twice the rectangle... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...rectangle AB, BC, is equal to the rectangle AC, CB, together with the square of BC. -If a straiyht 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 "tarts. ca Let AB be divided... | |
 | Edward Atkins - 1876 - 130 pages
...tho rectangle under the extreme segments. • 11. If a straight line be divided into any number of parts, the square of the whole line is equal to the sum of the squares of tho parts, together with twice the rectangles of the parts taken two and two together. 12.... | |
 | 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.... | |
 | 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 line divided... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...= 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 square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the two part*. Let the straight... | |
 | Benjamin Gratz Brown - Geometry - 1879 - 68 pages
...arise from this source which maybe developed either numerically or geometrically ; such as that, if a 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. This proposition... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...2 3 4 5 6 7 8 9 Dif. 1905 2798950 9178 9406 9634 9862 o090 o317 o545 o773 Tool 228 1. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the parts and to twice the rectangle contained by the parts. Write down the corresponding... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...expresses the distributive law in multiplication. . THEOREM II. 288. If a straight line be made up of two parts, the square of the whole line is equal to the sum of the squares of the tioo parts plus twice the rectangle contained by the parts. M 1 d b P « « parts AP... | |
 | Education, Higher - 1881 - 504 pages
...equal to a given square, and have its adjacent sides together equal to a given line. 7. If a straight line be divided into any two parts, the square of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part together... | |
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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. 
