 | Euclides - 1864
...on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then... | |
 | Euclides - 1864
...on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, it equal to the rectangle contained by the two parts, together with the square on the aforesaid part.... | |
 | Euclides - 1865
...equal to the rectangles under the whole and each of the parts . . . . . II. 2. 2. The rectangle under the whole and one of the parts, is equal to the rectangle under the two parts, together with the square on the aforesaid part . . . . . . . n. 3. 3. The square... | |
 | John Playfair - 1855 - 317 sider
...equality by a, we shall have a2=«A + a</ PE Q KLD PROP. III. THEOR. tf a straight line be divided into any two parts, the rectangle contained by the...the parts, is equal to the rectangle contained by the tttm parts, together with the square of the aforesaid part. Let the straight line AB be divided... | |
 | Euclid, Isaac Todhunter - 1867 - 400 sider
...on AB. Wherefore, if a straight line &c. QED PROPOSITION 3. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at the point (7: the... | |
 | 1867
...which are terminated at the other extremity equal to one another. 3. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. 4. Make a triangle of which the sides shall be equal to three given straight... | |
 | Robert Potts - 1868 - 410 sider
...PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained ky the whole and one of the parts, is equal to the rectangle contained by the twa parts, together with the square on the aforesaid part. Let the straight line AB be divided... | |
 | Edinburgh univ - 1871
...equal, in order that the triangles may be equal in every respect ? 3. If a straight line be divided into any two parts, the rectangle contained by the...parts, together with the square of the foresaid part. 4. Equal straight lines in a circle are equally distant from the centre; and those which are equally... | |
 | Euclides - 1871
...a straight line is equal to four times tlie square on half the line. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts together with the square on the aforesaid part. Let the st. line AB be divided into any two parts in C. Then must rect. AB,... | |
 | Euclides, James Hamblin Smith - 1872 - 349 sider
...to forr times the square on half the line. PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts together with the square on the aforesaid part. Let the st. line AB be divided into any two parts in C. Then must rect. AB,... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
