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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. "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Página 43
por Euclides - 1814
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The papers set at the professional preliminary examination

College of preceptors - 1882
...holds if the figures are on equal bases in the same straight line. 5. Define a rectangle and a square. If a straight line be divided into any two parts, the square described on the whole line is equal the sum of the squares on the two parts increased by twice the...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 páginas
...rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided into any two parts in the point C; then AB.AC+AB.CE=AB\ On- AB describe (I. 41) the square AE, and draw (I. 29) through C,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...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. Let the st. line AB be divided into any two parts in C. Then must sq. on AB=sum of sqq. on AC, CB and twice...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 páginas
...line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB shall be equal to the squares on AC, CB, together with twice the rectangle...
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Exercises on the geometry and measurement of plane figures, being solutions ...

Richard Wormell - 1883 - 192 páginas
...• CD ; Twice rect. II., „ rect. A С • DB ; And twice rect. III., „ rect. С D • D B. 103. If a straight line be divided into any two parts, the square on the whole line and one of the parts is equal to four times the rectangle contained by the whole...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 páginas
...corollaries to that proposition. Ex. 1. Prove //. 2 and 3 by means of figures as in //. 1. PROP. 4. THEOR. If a straight line be divided into any two parts, the square on the whole line will be equal to the squares on the two parts together with twice the rectangle contained...
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The Practical Teacher; with which is Incorporated the Practical ..., Volumen2

Joseph Hughes - 1883
...geometrical proposition which corresponds with the algebraical identity (j: + yf = ¿ + y* + 2 л-у. If a 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...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...therefore the rectangle AB, BC, is equal to the rectangle AC, CB, together with the square of BC. IV. — If a straight line be divided into any two parts,...together with twice the rectangle contained by the "tarts. *Let AB be divided into any two parts in C ; then the square of AB shall be equal to the squares...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884
...KLHS is equal to equilateral triangle KLO, and it has an angle KLM which is common to both. QEF 8. (a) If a straight line be divided into any two parts the square on the whole line is equal to the squares on two parts, together with twice the rectangle contained...
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A Short History of Greek Mathematics

James Gow - 1884 - 323 páginas
...learn the process from Euclid II. 4, where it is stated : ' If a straight line be divided at any point, the square of the whole line is equal to the squares of both the segments together with twice the rectangle contained by the segments.' So, with a number like...
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