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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 First Six Books: Together with the Eleventh and Twelfth - Σελίδα 62
των Euclid - 1781 - 520 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Transactions, Τόμος 13

Royal Institution of Chartered Surveyors - 1881 - 532 σελίδες
...section, is equal to the square of half the line. 8. 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 of the other part. 9. If in a circle two straight lines cut one another...

Transactions, Τόμος 13

Institution of Surveyors (Great Britain). - 514 σελίδες
...section, is equal to the square of half the line. 8. 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 of the other part. 9. If in a circle two straight lines cut one another...

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

1882 - 376 σελίδες
...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 Practical Teacher, Τόμος 1,Τεύχος 1

1882 - 676 σελίδες
...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 Oxford examiner, ed. by M.W.I. Shilleto, Τεύχη 1-5

Mary W I. Shilleto - 1882 - 418 σελίδες
...square which shall be equal to three given squares. 2. 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. Produce a given straight line to a point such that...

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

Free Church of Scotland. College Committee - 1882 - 142 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...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 σελίδες
...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, Τόμος 2

1882 - 498 σελίδες
...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...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...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...

The Competitor, Τόμοι 3-4

1883 - 248 σελίδες
...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...




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