 If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided...  The London University Calendar - Página ccxxiiipor London univ - 1874Vista completa - Acerca de este libro
 | Sir James Kay-Shuttleworth - 1853 - 554 páginas
...sides which contain the right angle. 3. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Section 2. 1. If in a circle two straight... | |
 | Euclides - 1853 - 146 páginas
...straight line, &c. QED PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by tke whole and that part, together with the square of the other part. Let the straight line AB be divided... | |
 | William Somerville Orr - 1854 - 534 páginas
...THEOREM. If a straight line (AB) be divided into any two parts (in C), the squares of the whole lint, and of one of the parts, are equal to twice the rectangle contained by the whole and Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See... | |
 | Euclides - 1855 - 270 páginas
...square of СD. Р B, O P. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into... | |
 | Robert Potts - 1855 - 1050 páginas
...be divided into any two parts, the squares on the whole line and one of the parts, shall be together equal to twice the rectangle contained by the whole line and that part, together with the square on the other part. Deduce the same from the preceding propositions of the Second Book. 6. The opposite... | |
 | W F. Richards - 1856 - 198 páginas
...rectangle contained by the parts. 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle... | |
 | Cambridge univ, exam. papers - 1856 - 200 páginas
...parallelogram will also be a square. 4. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. State this result algebraically. 5. One... | |
 | 1856 - 376 páginas
...to a given rectilineal angle. and 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Divide a straight line so that the rectangle... | |
 | John Playfair - 1856 - 346 páginas
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into... | |
 | Middle-class education - 1857 - 70 páginas
...answer. 32. Prove geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole, and that part, together with the square of the other part. 33. Prove the last proposition algebraically... | |
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