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" Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Educational Record of the Province of Quebec: The Medium Through which ... - Side 186
1891
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Bog 2

James Blaikie - 1892 - 74 sider
...contained by the whole line and each of the parts. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the square on that part, together with the rectangle contained by the parts. 4. If...
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Euclid's Elements of Geometry, Bøger 1–6

Henry Martyn Taylor - 1893 - 486 sider
...respectively, the angle BAC is a right angle. PROPOSITION 3. 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 sum of the square on that part and the rectangle contained by the two parts*. Let the straight line...
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Euclid's Elements of Geometry, Bøger 1–6;Bog 11

Henry Martyn Taylor - 1895 - 708 sider
...respectively, the angle BAC is a right angle. PROPOSITION 3. 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 sum of the square on that part and the rectangle contained by the two parts*. Let the straight line...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897 - 446 sider
...20, without producing a side of the triangle. 7 6. 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 square on that part together with the rectangle contained by the two parts. 8 7. If a straight line...
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Calendar, for the Year ...

1900 - 166 sider
...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 part. 7. Prove that if...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bog 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...Euclid's proof. PROPOSITION 8. THEOREM. If a straight line, is divided into any two jmrts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...
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Selected List of Educational Books for Secondary Schools

Macmillan & Co - 1901 - 802 sider
...AB. Hence sq. on AH= rect. AB, BH. Dot, When a straight line is divided into two parti BO that th« rectangle contained by the whole line and one of the parts is equal to tha square on the other part, the line is said to be divided in 'medial section.' The line is also...
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The School World, Bind 3

1901 - 548 sider
...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 points of division. (6) Equal...
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Annual Report of the Commissioners ..., Bind 68

1902 - 482 sider
...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 a circle two straight lines...
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Euclid, Bog 1

Euclid, Rupert Deakin - 1903 - 218 sider
...contains a + 6 units of length. PROP. 3.— Theorem.— It 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 square on that part together with the rectangle contained by the two parts. Let the straight line AB...
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