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" AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 54
των Robert Simson - 1781 - 466 σελίδες
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The Practical Teacher, Τόμος 1,Τεύχος 1

1882
...by the parts. FAG -QEF THE PRACTICAL TEACHER. 2. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part. 3. If the diagonals of a quadrilateral are at right...

The Competitor, Τόμοι 3-4

1883
...together with the square on the aforesaid part. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. K.— ALjtlra. (Answer two Questions.) 1. Reduce to...

Class lessons on Euclid

Marianne Nops - 1882
...analysis. SUMMARY OF PROPOSITION XI., PROBLEM 1. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Cons. — On AB describe the square ACDB (I. 46). Bisect...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...bisects them. What is the hypothesis in this proposition ? 4. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 5. Describe a square that shall be equal to a given rectilineal...

The Cambridge Examiner

1882
...parallels, the parallelogram is double of the triangle. 10. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may equal the square on the other part. 11. If a straight line drawn through the centre of a circle...

The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - 1882 - 113 σελίδες
...of any parallelogram are equal to one another. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 5. Reduce to the simplest form — y - x 6. Find the...

Gibson's London matriculation guide, by J. Gibson [and others].

1882
...difference of the squares on the given straight lines. 5. Divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 6. Prove that a circle cannot be described about a...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 σελίδες
...the other part. Let AB be the given straight line : it is required to divide it into two parts, go that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. On AB describe the square ABDG; [I. 46. bisect AC at...

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 2

Joseph Hughes - 1883
...rectangle contained by the parts. Euclid II., 4. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square on the other part. Euclid П., u. I. Prove that (a+i + c) Algebra. - (30...

Annual Report

1886
...same straight line are parallel to each other. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. NATURAL PHILOSOPHY. FIRST AND SECOND DIVISIONS. SECOND...




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