| Euclides - 1864 - 262 pages
...THEOREM. If a 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. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be... | |
| University of Calcutta - 1864 - 388 pages
...third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. To what algebraical proposition is this equivalent ? 6. Describe a square that shall be equal... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...THEOREM. If a 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 two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB shall be equal... | |
| Richard Wormell - Geometry, Plane - 1870 - 304 pages
...sum and the difference. II. 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 AB (fig. 144) be divided in C ; then the square on AB = the sum of the squares on AC, CB,... | |
| Euclides - 1871 - 136 pages
...segments of AC. If a straight line be divided into any two parts, the square mi the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Or X Let the St. line AH be divided into any two parts in C. Then must sq. on AB = sum ofsqq.... | |
| Patrick Weston Joyce - Civil service - 1871 - 170 pages
...divided into any two parts, the square deseribed on the whole line is equal to the squares deseribed on the two parts, together with twice the rectangle contained by the parts. 2. Deseribe a regular pentagon about a given cirele. 3. Similar triangles are to one another... | |
| Edward Atkins - 1874 - 428 pages
...Theorem. Jf a straight line be divided into any two parts, the square on t/ie whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; The square on AB shall be equal... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...II. 4.) If a 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. Let the straight line AB be divided into any two parts in C ; then shall the square on the whole... | |
| Euclides - 1874 - 120 pages
...THEOREM. If a 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 rts. Let the straight line AB be divided into any two parts at the point C : the square on AB * ' •... | |
| Euclides - 1874 - 342 pages
...Theorem. If a 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. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be... | |
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