| 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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