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If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 17
av W J. Dickinson - 1879 - 36 sider
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...or a' = m" + Imn + n'. That is, if a number be divided into any two parts, the square of the number is equal to the squares of the two parts together with twice the product of the two parts. From Euc. n. 4, may be deduced a proof of Eue. i. 47. In the fig. take DL...
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## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Given the straight line AB divided into any two parts in C ; to prove that the square on AB is equal...
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## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 3. If in a circle straight lines cut one another which do not both pass through the centre, they do...
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## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...&c. QED PROP. IV. — THEOREM. If a straight line be divided into any two parts; then the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) Let the straight line AB be divided into any two...
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## Responsions

University of Oxford - 1863
...these two sides is a right angle. 8. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 9. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle...
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## Guide to the Civil service

Henry White - 1864
...together equal to two right angles. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 5. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...or a* = m' + 2mn + n'. That is, if a number be divided into any two parts, the square of the number is equal to the squares of the two parts together with twice the product of the two parts. From Euc. n. 4, may be deduced a proof of Euc. i. 47. In the fig. take DL...
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## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...or o* = m* + 2mn + n'., That is, if a number be divided into any two parts, the square of the number is equal to the squares of the two parts together with twice the product of tile two parts. From Euc. n. 4, may be deduced a proof of Euc. I. 47. In the fig. take DL...
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## The Calcutta University Calendar

University of Calcutta - 1864
...straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. To what algebraical proposition is this equivalent ? 6. Describe a square that shall be equal to a...
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## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...square of the aforesaid part. Prop. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. Cor. The parallelograms about the diameter of a square are likewise squares. Prop. 5. If a straight...
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