| Edward Atkins - 1874
...BC, is equal to the square on AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. **If a straight line be divided into any two parts, the rectangle** contaiiied by the whole and one of the parts is equal to the square on t/iat part, together with the... | |
| Henry Major
...Give some account of it, and of the retribution exacted. Write an essay on " The House of Lords." 1. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** on the aforesaid part. 2. If a straight line be divided into two equal, and also into two unequal parts,... | |
| Richard Wormell - 1876
...its parts are together equal to the square on the whole line. . . - . . . . . . . . . . . . 145 3. **If a straight line be divided into any two parts,...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. .. .. 145 6. If a straight... | |
| Edward Atkins - 1876 - 119 sider
...BC, is equal to the square on AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. **If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the** square on tJiat part, together with the rectangle contained by the two parts. Let the straight line... | |
| Robert Potts - 1876 - 403 sider
...square on AB. If therefore a straight line, &c. QE ji. PROPOS1TION III. THEOREM. iJ a itraiyht line Tie **divided into any two parts, the rectangle contained by the whole and one of the** parti, is equal to the rectangle contained by the tun parti, together with the square. on the aforesaid... | |
| Euclides - 1878
...square on a straight line is equal to four 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 two parts together** mth the square on the aforesaid part. J> Let the st. line AB be divided into any two parts in C. Then... | |
| Āryabhaṭa - 1878
...divided Mo any two parts, the rectangle contained by the whole line and one of its parti is equal to th* **rectangle contained by the two parts, together with the square of the** for esaid part. And conversely, if there be a rectangle and the square of one of its sides, the rectangle... | |
| University of Oxford - 1879
...the line, and the two interior angles on the same side of it together equal to two right angles. 3. **If a straight line be divided into any two parts,...by the two parts, together with the square of the** aforesaid part. 4. From a given point, either without or in the circumference of a circle, draw a straight... | |
| Isaac Sharpless - 1879 - 266 sider
...AF+CE=AE; AF=AD.AC=AB.AC, CE=CF.CB = AB. CB, AE-AB * ; AB.AC+AB.CB=AB\ Proposition 3. Theorem.—If **a straight line be divided into any two parts, the...by the two parts, together with the square of the** aforesaid part. Let the straight line AB be divided in two parts in the point C, then AB.BC=AC.CB+BC\... | |
| Euclides - 1879
...this formula in terms corresponding to the enunciation of the proposition.] PROPOSITION III. THEOREM. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** on the aforesaid part. Let AB be divided into any two parts at C. Then rect. AB, BC == rect. AC, BC,... | |
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