| 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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