 | 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 С,... | |
 | 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... | |
 | 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... | |
 | Robert Potts - Geometry, Plane - 1876 - 446 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. 19. In an obtuse angled triangle, is the sum of the sides containing the obtuse angle greater or less... | |
 | Elias Loomis - Geometry - 1877 - 458 pages
...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...squares on AC, CB, together with twice the rectangle contained.by AC, CB ; that is, AB2,or (AC+CB)2=AC2+CB2+2ACxCB. Upon AB describe the square ABDE; take... | |
 | 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... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...Prove that if a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. The parallelograms about the diagonal of a square are also squares. Same proposition. If a straight... | |
 | Benjamin Gratz Brown - Geometry - 1879 - 70 pages
...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 is one of first consequence, as having furnished the key to the extraction of the... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...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 line AB be divided into any two parts in C; then will . CB. Upon AB describe... | |
 | Moffatt and Paige - 1879 - 506 pages
...twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with... | |
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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. 
