 | Euclides - 1865 - Liczba stron: 402
...line, and the several parts of the divided line. Prop. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. Prop. 3. If a straight line be divided into any two parts, the rectangle contained by the whole and... | |
 | Robert Potts - 1865 - Liczba stron: 528
...be two straight lines, &c. QBD PROPOSITION II. THEOREM. lf 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. Let the straight line AB be divided into any two parts in the point C. Then the... | |
 | Euclid, Isaac Todhunter - 1867 - Liczba stron: 424
...there be two straight lines &c. QBD PROPOSITION 2. THEOREM. If a straight line lie 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. Let the straight line AB be divided into any two parts at the point C : the rectangle... | |
 | Euclid, Isaac Todhunter - 1867 - Liczba stron: 426
...parts, tin rectangles contained by the whole and each of the parti are together equal to the square on the whole line. Let the straight line AB be divided into any two parti at the point C: the rectangle contained by AB, BC, together with the rectangle AB, AC, shall... | |
 | Robert Potts - 1868 - Liczba stron: 434
...be two straight lines, &c. QED PROPOSITION II. THEOREM. If a itraight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are toyet/ier equal to the square on the whole line. Let the straight line AB be divided into any two parts... | |
 | James Smith - 1870 - Liczba stron: 634
...according to Euclid, Prop. 2 : Book 2 : "If a straight line (AB) be divided into any two parts (AC, CB) the rectangles contained by the whole and each of...are together equal to the square of the whole line : that is, AB . AC + AB . BC = A B'. Upon this proposition of Euclid, I found the following theorem... | |
 | Euclides - 1871 - Liczba stron: 136
...parts of the other. & JC I, 2i PROPOSITION II. THEOREM. 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. Let the st. line AB be divided into any two parts in C. Then must sq. on AB=sum... | |
 | Elias Loomis - 1871 - Liczba stron: 302
...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 squares on AC CB, together with twice the rectangle contained... | |
 | Euclides, James Hamblin Smith - 1872 - Liczba stron: 376
...of the other. A \ 'aa M. L Ji Q PROPOSITION II. THEOREM. 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. Let the st. line AB be divided into any two parts in O. Then must sq. on AB=sum... | |
 | Henry Major - 1873 - Liczba stron: 588
...contained by A, BD, and by A, DE, and by A, EC. DEC II. — If a straight line be divided into any two parts, the rectangles contained by the whole and each...together equal to the square of the whole line. Let AB be divided into any two parts in the point C ; then the rectangle contained by AB, BC, together... | |
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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 of the whole line. Let the straight line AB be divided... 
