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. The Elements of Euclid - Side 41av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| Charles Mansford - 1874
...that its symbolical expression is m? = am + bin. 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 C: the rectangle... | |
| James Martin (of the Wedgwood inst, Burslem) - 1874
...&c. QED PROPOSITION 3. — Theorem. If a straight line be divided into any two parts, the rectangU **contained by the whole and one of the parts is equal...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. AC ..... | |
| 1874
...AB-BC. AB-BC= BCa+ AC • BC. For AE=AD +CE. Proposition 3.— Theorem. 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** square on t/tnt part, together with the rectangle contained liy the two parts. Let the straight line... | |
| 1874
...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 rectangle contained by the two parts. Let the straight line... | |
| Edward Atkins - 1876
...AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. 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** square on tJiat part, together with the rectangle contained by the two parts. Let the straight line... | |
| Richard Wormell - 1876
...to the square on the whole line. . . - . . . . . . . . . . . . 145 3. 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** square on that part, together with the rectangle contained by the two parts. .. .. 145 6. If a straight... | |
| Robert Potts - 1876 - 403 sider
...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, James Hamblin Smith - 1878 - 349 sider
...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...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... | |
| Isaac Sharpless - 1879 - 266 sider
...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 rectangle contained by 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\... | |
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