 | Euclides - 1862 - 140 σελίδες
...AB. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 3.— THEOREM. If a straight line be divided into any two parts, the rectangle...by the whole and one of the parts, is equal to the square on that part, together with the rectangle contained by the two parts. (References— Prop. I.... | |
 | Euclides - 1862 - 172 σελίδες
...straight line be divided into any two parts ; then the rectangle contained by the whole and one of Ihe parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. (References— Prop. i. 31, 46.) Let the straight line AB be divided... | |
 | University of Oxford - 1863 - 316 σελίδες
...a given rectilineal figure and having an angle equal to a given rectilineal angle. 8. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. 9. If a straight line be bisected and produced to any point, the rectangle... | |
 | Euclides - 1864 - 262 σελίδες
...to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle...rectangle 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.... | |
 | Euclides - 1864 - 448 σελίδες
...to the square 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.... | |
 | Robert Potts - 1865 - 528 σελίδες
...to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. lf a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforemid part. Let the straight line AB\>& divided into any two parts in the point C.... | |
 | Euclides - 1865 - 402 σελίδες
...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 - 350 σελίδες
...members of this 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...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... | |
 | 1867 - 224 σελίδες
...and likewise those which are terminated at the other extremity equal to one another. 3. If a straight line be divided into any two parts, the rectangle...rectangle 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 - 434 σελίδες
...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... | |
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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. 
