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Bøker Bok 8190 av 139If a straight line be divided into any two parts, the rectangle contained by the...
" 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 41
av Euclid - 1838 - 416 sider
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

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...
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The Elements of Euclid, containing the first six books, with a selection of ...

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 .....
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Pure Mathematics, Volum 1

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...
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Pure Mathematics, Volum 1

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...
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Elements of geometry, based on Euclid, Bøker 1-3

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...
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Modern geometry [ed.] with an appendix by W.B. Jack

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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

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...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

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...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

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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