 | 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... | |
 | 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... | |
 | 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... | |
 | 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 - 316 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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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. 
