| Elias Loomis - Geometry - 1871 - 302 pages
...THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent **to the squares of 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 is equivalent to the... | |
| 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 in the... | |
| Euclides - 1871 - 136 pages
...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. on AC,... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...(Bk. IV. Prop. 1 1, Cor. 2) ; therefore AB2 is equal to AC2 + CB2 + 2 . AC . CB. PROPOSITION 13. If **a straight line be divided into any two parts, the square of** one of the parts shall be less than the sum of the squares of the whole line, and of the other part... | |
| Euclid - Geometry - 1872 - 284 pages
...under AC and CF. PROPOSITION IV. THEOREM. If a right line (AB) be divided into any two parts (in O) **the square of the whole line is equal to the squares of the** parts, together with twice the rectangle under the parts. On AB describe the square ACDB, and draw... | |
| Manchester univ - 1872 - 380 pages
...between them if the distance of the point from the centre be equal to the sum of their lengths ? 12. If **a straight line be divided into any two parts, the square of** one of the parts shall be less than the sum of the squares of the whole line and the other part, by... | |
| Henry Major - Student teachers - 1873 - 592 pages
...rectangle AB, BC, is equal to the rectangle AC, CB, together with the square of BC. -If a straiyht **line be divided into any two parts, the square of...together with twice the rectangle contained by the** "tarts. ca Let AB be divided into any two parts in C ; then the square of AB shall be equal to the... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 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.** Let the straight line AB be divided into any two parts in C ; then shall the square on the whole line... | |
| Edward Atkins - 1874 - 428 pages
...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 to the... | |
| Euclides - 1874 - 342 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.** Let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to... | |
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