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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. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...the other part, is equal to the square on the straight line which in made up of the whole and that part. Let the straight line AB be divided into any two parts in C, then shall four times the rectangle contained by AB and BC, together with the square oil AC,...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
...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, the squares on the whole...that part together with the square on the other part. ACI) Let AB be divided into any two parts in G. Then must sqq. on AB, BC= twice rect. AB, BC together...
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Examination Christmas,1875

Education Department,London - 1876
...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, the squares on the whole...part, together with the square on the other part. Produce a given line so that the rectangle contained by the whole line thus produced and the part produced...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 páginas
...en the whole line and on one of ike parts are equal to twice the rectangle contained by the wJuile and that part, together with the square on the other...the straight line AB be divided into any two parts iu the point C; The squares on AB and BC shall be equal to twice the rectangle AB; BC, together with...
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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...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...the present. . • . , . Euclid. — 1. If a straight line be divided Into any two parts, the sqnares on the whole line, and on one of the parts, are equal to twice the rectilineal contained by the whole and that part, together with the square on the other part. 2. Given...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876
...squares on the whole and on the other part by twice the rectangle contained by tlie whole and that other part. Let the straight line AB be divided into any two parts in C. Then shall the square on AC be less than the squares on AB and BC by twice the rectangle AB,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 páginas
...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...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumen21

1877
...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 to twice the rectangle...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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1878 - 349 páginas
...V. and VI. might be deduced from this Proposition. PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole...part together with the square on the other part. Let AB be divided into ^,ny two parts in C. Then must sqq. on AB, BC=twice rect. AB, BC together with sq....
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