 | 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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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. 
