 | Euclides - 1865
...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... | |
 | Euclid, Isaac Todhunter - 1867 - 400 sider
...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 - 400 sider
...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 - 410 sider
...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
...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
...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 - 58 sider
...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 - 349 sider
...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
...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... | |
 | Euclides - 1874
...two straight lines, <kc. QED 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 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... | |
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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... 
