| Edward Atkins - 1874
...parts is equal to the square on t/iat part, together with the rectangle contained by the two parts. **Let the straight line AB be divided into any two parts in the point C; The rectangle** AB • BC shall be equal to the square on BC, together with the rectangle AC • CB. CONSTRUCTION.... | |
| Euclides - 1874
...m=a + b + c, then mn=an + bn + cn. PROPOSITION 2. THEOREM. If a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts, are** tor/ether equal to the square on the whole line. j Let the straight line AB be divided into any ' •... | |
| Edward Atkins - 1874
...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 squares on AC and CB, together with twice the rectangle... | |
| Francis Cuthbertson - 1874 - 349 sider
...the whole and on the other part by twice the rectangle contained by the whole and that other part. **Let the straight line AB be divided into any two parts in** C. A Then shall the square on AC be < the squares on AB and BC by twice the rectangle AB, BC. s Draw... | |
| Euclides - 1874
...other part, is equal to the square on the straight line which in made up of the whole and that part. **Let the straight line AB be divided into any two parts in** C, then shall four times the rectangle contained by AB and BC, together with the square oil AC, be... | |
| Henry Major - 1876
...parallelogram bisect them, the parallelogram is a rhombus. 2. If a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts are together equal to the square** on the whole line. Give the corresponding result in algebra, 8. If a straight line be divided into... | |
| University of Madras - 1876
...straight line AB is trisected in K, G. V- If a straight line be divided into any two parts, prove that **the rectangles contained by the whole and each of the parts are together equal to the square** on the whole line. PART II. VI. In obtuse-angled triangles, if a perpendicular be drawn from either... | |
| Edward Atkins - 1876 - 119 sider
...opposite angles, and O any point either within or without the rectangle — OA» + OC» = OB» + OD". 8. **Let the straight line AB be divided into any two parts in** tho point C. Bisect CB in D, and take a point E in AC such that EC = CD. Then shall AD2 = AE» + AC... | |
| Robert Potts - 1876 - 403 sider
...PROPOSITION II. THEOREM. J/a straight lint be divided into any (too parti, the rectangles contained ty **the whole and each of the parts, are together equal to the** tquan an the whole line. ;oint C. at eonLet the straight line AB}m divided into any two part* in the... | |
| Francis Cuthbertson (geometer.) - 1876
...the whole and on the other part by twice the rectangle contained by tlie whole and that other part. **Let the straight line AB be divided into any two parts in** C. Then shall the square on AC be less than the squares on AB and BC by twice the rectangle AB, BC.... | |
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