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Bøker Bok 101110 av 141If 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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The Competitor, Volumer 3-4

1883
...construct a triangle ADE equal to ABC, and having the common angle A. 2. If a straight line be diveded into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. 3. To divide a given straight line into two parts, so that the rectangle contained...
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The Oxford examiner, ed. by M.W.I. Shilleto

Mary W I. Shilleto
...value which these complements can have for a given parallelogram ? 4. 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. If from one of the equal angles of an isosceles triangle a perpendicular be...
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Class lessons on Euclid

Marianne Nops - 1882
...the terms of the enunciation. SUMMABY OF PROPOSITION III., THEOREM 3. 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. (Reet. AB, BC = sq. on BC and rect. AC, CB.) Cons. — Describe square on BC...
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The Cambridge Examiner

1882
...the squares described on the sides which contain the right angle. 14. 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. 15. Find the centre of a circle. 16. If in a circle two straight lines cut one...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained...by the two parts, together with the square of the aforesaid part. 6. Prove that twice the bisector of the base of a triangle, drawn from the opposite...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the rectangle contained by the two parts together with the square on the aforesaid part. 6. If a straight line be divided into any two parts, the squares on the whole...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...that is, the sqs. on В A and CA= twice the sq. BF (the radius). QEP 2. 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. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...on AB. Wherefore, if a straight line &c. QID 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. [I. 46. B BOOK II. 3, 4. On BC describe the square CDEB; produce ED to F, and...
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The Practical Teacher, Volum 2

1883
...that is, the sqs. on BA and CA= twice the sq. BF (the radies). QED 2. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square os the aforesaid part. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

James Hamblin Smith - 1883
...the line, PROPOSITION III. THEOREM. // a straight line be divided into any two parts, the rectangk contained by the whole and one of the parts is equal to the netangle contained by the two parts together with the square on the aforesaid part. J) Let the st....
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