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If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided...
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 52
των John Playfair - 1837 - 318 σελίδες
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 σελίδες
...triangle.) 5. If a straight line be divided into any two parts, the squares on the whole line, and one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. C. Prove that, if a straight line AD be drawn from A, one of the angles of a triangle...

## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...line be divided into any two parts, the square on the whole line and one of the parts is equivalent to twice the rectangle contained by the whole and that part, together with the square on the other part. SECTION II. — The Theorem of Pythagoras. Enunciation. — " If squares are described...

## Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 21

1877
...contained by these two sides is a right angle. 4. If a straight line be divided into any two parte, the squares of the whole line, and of one of the parts,...part, together with the square of the other part. What is the algebraical equivalent to this proposition? 5. To divide a given straight line into two...

## John Heywood's complete guide to the standard examinations, consisting of 24 ...

Alfonzo Gardiner - 1878
...the numbers. 7. If a straight line be divided into any two parts the squares on the whole line and on one of the parts are equal to twice the rectangle...by the whole and that part together with the square on the other part. 8. Express Propositions 5 and 6 Euclid, Bk. II., by algebra. 9. What is the diameter...

## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...polygon. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Produce a given line so that the rectangle contained by the whole line thus produced...

## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let AB be divided into any two parts at C. Then the sqs. on AB, BC = twice rect....

## First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...the other. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. 4. If a point be taken within a circle, from which there fall more than two equal...

## Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...VII. Theorem. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...straight line be divided into any two parti, (he squares on the whole line and on one of the parts arc equal to twice the rectangle contained by the whole and that part together with the square on the other part. 0 B IF 'H Let AB be divided into any two parts in C. Then must sqq. on AB, BC=twice...

## A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 σελίδες
...part produced. 7. Define a rectangle and a gnomon. Prove that if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square...