| 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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