| Pupil teachers - 1880 - 1516 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... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...straight line be divided into any two parts, the square on the whole lime is equal to the squares on **the two parts, together with twice the rectangle contained by the parts. Let** AB be a straight line, divided into any two parts in C. Then it ie to be proved that The The i AR -... | |
| Elizabethan club - 1880 - 156 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.** Express this also algebraically. 5. Divide a line into two parts, so that the rectangle contained by... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...line is equal to the squares on the two parts, together with twice the rectangle contained by the two **parts. Let the straight line AB be divided into any two parts** at the point C : the square on AB shall be equal to the squares on AC, CB, together with twice the... | |
| Education, Higher - 1881 - 504 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.** 5. Describe a square that shall be equal to a given rectilineal figure. 6. Shew that the square on... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...another. 3. 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.** 4. If two triangles have two angles of the one equal to two angles of the other, each to each, and... | |
| 1883 - 248 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.** R. — Algebra. (Answer two Questions.) 1. Divide 5i/*+J ayO-ifta' y»+| a»y+{ a* by |3i2+3ay-f a».... | |
| Marianne Nops - 1882 - 278 pages
...a straight line be divided into 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** ; ' or, supposing the data to be two straight lines, the enunciation may be stated : ' The square on... | |
| Isaac Sharpless - Geometry - 1882 - 292 pages
...rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. **Let the straight line AB be divided into any two parts in** the point C; then AB.AC+AB.CE=AB\ On- AB describe (I. 41) the square AE, and draw (I. 29) through C,... | |
| Education - 1882 - 676 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.** FAG -QEF THE PRACTICAL TEACHER. 2. To divide a given straight line into two parts, so that the rectangle... | |
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