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" To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 42
των Euclides - 1853 - 147 σελίδες
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1899
...he passed who fails to obtain marks in any one section. A. 21. Show how to divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square of the other part. Show how to describe a right-angled triangle such...

A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Βιβλίο 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 σελίδες
...+ 4 PB2 n. 4, Cor. 2. =2(PQ2-PB2) + 4PBa n. 6. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. K Let AB be the given straight line. It is required...

Calendar

University of Sydney - 1900
...parallelogram will be formed whose area is half that of the given quadrilateral. 3. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. 4. In equal circles the arcs which subtend equal...

Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...contained by BA, AE is equal to the rectangle contained by CA, AD. 4. Define a rectangle. Divide a straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Prove that, when a straight...

Calendar, for the Year ...

1900
...is a GP Sum to ten terms the series -i._,.— + , 2 2* 2* 2* 6. Shew how to divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal (i.) to the square, (ii.) to double of the square on the other...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 σελίδες
...and having a given area, that which has the least perimeter it isosceles. 3. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. If the line be divided so that nine times the rectangle...

The School World, Τόμος 3

1901
...Each of the parallelograms about the diagonal of a rhombus is a rhombus. (5) Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Show that there may be two...

Examination Papers

University of Toronto - 1901
...that E is on the side of AB remote from D, then CE is bisected by AB.\ 3. To divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the |>art8 may be equal to the square on the other part. (II. 11.)If ABC be any triangle,...

Euclid, His Life and System

Thomas Smith (D.D.) - 1902 - 244 σελίδες
...till Euclid gave it them, but the truths demonstrated in the propositions. tained by the whole line and one of the parts shall be equal to the square of the other part. As the very conception of a rectangle and a square involves a reference to parallel lines, our remark...

Annual Report of the Commissioners ..., Τόμος 68

1902
...accepted. Mr. PKDLOW, Senior Inspector. Mr. HUGHES, District Inspector. i SECTION A. 1. Divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without...




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