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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 Plane Geometry According to Euclid - Σελίδα 44
των Andrew Bell - 1837 - 240 σελίδες
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 σελίδες
...the squares on the whole and on the other part by twice the rectangle contained by the whole and that other part. Let the straight line AB be divided into any two parts in C. A Then shall the square on AC be < the squares on AB and BC by twice the rectangle AB, BC. s Draw...

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, be...

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

Robert Potts - 1876 - 403 σελίδες
...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 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...

Examination Christmas,1875

Education Department,London - 1876
...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 produced...

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

Henry Major
...line be divided into any two parts, tbe 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. . /, {> Henoe show that the sum of the squares on two straight lines is never less...

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

Edward Atkins - 1876 - 119 σελίδες
...are equal to twice the rectangle contained by the wJuile and that part, together with the square on the other part. Let 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...

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, BC....

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

1877
...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...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
...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. 8. Express Propositions 5 and 6 Euclid, Bk. II., by algebra. 9. What is the diameter...




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