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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...
The first and second books of Euclid explained to beginners, by C.P. Mason - Σελίδα 149
των Euclid, Charles Peter MASON - 1872
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## Euclidian Geometry

Francis Cuthbertson - 1874 - 349 σελίδες
...that square on BE = rect. (BC, DE) + square on CE. 9. Divide a straight line into two parts so that the squares on the whole line and on one of the parts shall be together equal to three times the square on the other part. 10. Prove that the squares on...

## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...square shall be equal to two given squares. 7. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 8. Show that the difference of the squares of...

## Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
...V. and VI. might be deduced from thia Proposition! A. ri r, 7 1 •K i J7 PROPOSITION VII. THEOREM. If a straight line be divided into any two parts,...squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other...

## Examination Christmas,1875

...intersection together with four right angles are equal to all the interior angles of the polygon. 3. If a straight line be divided into any two parts,...squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the...

## 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...part, together with the square on the other part. SECTION II. — The Theorem of Pythagoras. Enunciation. — " If squares are described on the sides...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 σελίδες
...opposite angle, and acute angle. (Take the case where the perpendicular falls within the 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 contained by the whole and that part, together with...

## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 σελίδες
...to the square on CD. Therefore, if a straight line, &c. Q. K D. = 2AB'BC Proposition 7.— Theorem. If a straight line be divided into any two parts, the squares en the whole line and on one of ike parts are equal to twice the rectangle contained by the wJuile...

## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...the triangle CNK equal to the triangle ARC, and the triangle BMF equal to the triangle ARB, &c.) 2. If a straight line be divided into any two parts, the squares ou the whole line and one of the parts are equal to twice the rectangle contained by the whole and...

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

1877
...straight line be divided into any two parte, 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. What is the algebraical equivalent to this proposition? 5. To divide a given straight...

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

Alfonzo Gardiner - 1878
...x, 5a;= ~- + 7. 6. The product of two numbers is 15, and their difference is 2. Find 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 contained by the whole and that part together with the square on the other...