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 Books Bücher 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 - Seite 42
von Euclides - 1853 - 147 Seiten
Vollansicht - Über dieses Buch ## Science Examination Papers

...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...
Vollansicht - Über dieses Buch ## A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bücher 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 Seiten
...+ 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...
Vollansicht - Über dieses Buch ## 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...
Vollansicht - Über dieses Buch ## Report of the Department of Education for the Year ...

...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...
Vollansicht - Über dieses Buch ## 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...
Vollansicht - Über dieses Buch ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...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...
Vollansicht - Über dieses Buch ## The School World, Band 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...
Vollansicht - Über dieses Buch ## 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,...
Vollansicht - Über dieses Buch ## Euclid, His Life and System

Thomas Smith (D.D.) - 1902 - 227 Seiten
...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...
Vollansicht - Über dieses Buch ## Annual Report of the Commissioners ..., Band 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...
Vollansicht - Über dieses Buch