| Euclides - 1858 - 248 pages
...4. II. If a st. line be divided into any two parts, the square of the whole line equals the square **of the two parts together with twice the rectangle contained by the parts.** Def. 30. I. A square is a four-sided figure having all its sides equal, and its angles rt. angles.... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...parallelogram. 3. If a right 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. The opposite angles of a quadrilateral figure inscribed in a circle, are together equal to two right... | |
| Civil service - 366 pages
...PROP. IV — If a straight lice 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.** PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares... | |
| Eucleides - 1860 - 396 pages
...Multiplying these equal quantities by m, we have a . m = (m -f- n) . m, or PROPOSITION IT. THEOREM. — If a **straight line (AB) be divided into any two parts (in C), the square** 011 the whole line is equal in area to the sum of the squares on the parts (AC and CB), together with... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...contained Jty the whole and each of the parts, are together equal to the square on the whole line. **Let the straight line AB be divided into any two parts in** the point C. Then the rectangle contained by AB, BC, together with that contained by AB, AC, shall... | |
| Euclides - 1860 - 288 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.** Given the straight line AB divided into any two parts in C ; to prove that the square on AB is equal... | |
| War office - 1861 - 714 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. If in a circle straight lines cut one another which do not both pass through the centre, they do... | |
| Euclides - 1862 - 172 pages
...THEOREM. If a straight line be divided into any two parts; then the square of the whole line is equal **to the squares of the two parts, together with twice the rectangle contained by the parts.** (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) Let the straight line AB be divided into any two... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...rectilineal angle. 7. 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.** 8. If a straight line be divided into any two parts, the squares of the whole line and one of the parts... | |
| Euclides - 1864 - 262 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...straight line AB be divided into any two parts in C.** Then the square on AB shall be equal to the squares on AC, and CB, together with twice the rectangle... | |
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