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" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
The school edition. Euclid's Elements of geometry, the first six books, by R ... - Σελίδα 81
των Euclides - 1864
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...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...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; The square on AB shall be equal to the squares on AC and CB, together with twice the rectangle...

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

Euclides - 1874 - 342 σελίδες
...is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to the squares on AC and CB, together with twice the rectangle...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 σελίδες
...straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part. J> J8 Let the st. line AB be divided into any two parts in C. Then must red. AB, CB=sum ofrect. AC,...

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

Henry Major - 1876 - 784 σελίδες
...straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts, together with the square on the aforesaid part. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the...

Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 σελίδες
...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....

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

Edward Atkins - 1876 - 130 σελίδες
...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...

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

Robert Potts - 1876 - 446 σελίδες
...contained by the whole and one of the parti, is equal to the rectangle contained by the tun parti, together with the square. on the aforesaid part. Let the straight line A 7? be divided into any two parts in the point C. Then the rectangle AB, BC, shau be equal to the...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 σελίδες
...line be divided into any two parts, the. rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts,...together with the square on the aforesaid part. Let AB be divided into any two parts at C. Then rect. AB, BC == rect. AC, BC, together with sq. on BC....

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 σελίδες
...straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts, together with the square on the aforesaid part 1G Same proposition. Divide a given line so that the rectangle contained by the whole line and one...




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