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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.
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 41
av Euclid, Robert Simson - 1838 - 416 sider
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## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...together with the rectangle AB, BC, is equal to the square of AB. III. — If a straight line lie divided into any two parts, the rectangle contained by the...by the two parts, together with the square of the aforesaid part. Let AB be divided into any two parts in the point C; then the rectangle AB, BC, is...
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## A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 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 ...

Euclides - 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

Edward Atkins - 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

Edward Atkins - 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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## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...that set for Candidates. Write a short essay on Heat, and its rises. 1. 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. What is the corresponding result in algebra ? 2. la obtuse-angled triangles,...
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## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...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 - 1878
...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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