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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 48
von Robert Simson - 1762 - 466 Seiten
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The Madras University Calendar

University of Madras - 1873 - 436 Seiten
...If a straight line be divided into any two parts, prove that 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 part. VI. From any point D in the side CA of a right-angled triangle ABC, of which...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...7.— 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...contained by 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; PROPOSITIONS....
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 Seiten
...required. 1. 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 part. 2. Describe a square that shall be equal to a given rectilineal figure. If...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 Seiten
...7. THEOREM. If a straight line l>e 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 part. Let the straight line AB be divided into any ' • two parts at the point...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...— 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...contained by 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...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 the square on the other part. C. Prove that, if a straight line AD be drawn from A, one of the angles of...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 Seiten
...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 that part, together with the square on the other part. 1. Find the GCM of 24z* — 22x3 + 5 and 48.Z* + 16z2 — 15, and = 6} za;...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 Seiten
...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...contained by 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...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 Seiten
...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...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Band 21

1877 - 678 Seiten
...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, are equal...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...
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