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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 Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...mentioned in Us enunciation are equal, their rectangle is a square. FK If a straight line be divided into any two parts, the rectangle contained by the...foresaid part. Let the straight line AB be divided into any two parts at the point C. The rectangle AB.BC is equal to the rectangle AC.CB, together with the...
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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, Utgaver 1-5

Mary W I. Shilleto - 1882
...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, Volum 2

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

...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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