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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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 3 Let the straight line AB be divided into any two parts in C; the square of AB is equal to the squares of AC, CB, together with twice the rectangle contained...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...is equal to the squares of 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 of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,...

Elements of geometry and mensuration

Thomas Lund - 1854 - 192 σελίδες
...be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole and...part, together with the square of the other part. With the same construction as in (44), and in the same manner it may be shewn, that BCGK, and HGFD,...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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...the straight line AB be divided into any two parts at the point С. The squares of AB and B С are equal to twice the д ев rectangle AB. B С, together...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...line be divided into any two parts, the squares of the whole line and of one of the parts is equal to twice the rectangle contained by the whole and...part together with the square of the other part. Let AB (Fig. 39) be divided into any two parts in the point C, the squares of AB, BC are equal to twice...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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...part, together with the square of the other part. State this result algebraically. 5. One circle cannot touch another in more points than one, whether...

National Society's Monthly Paper

1856
...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...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part shall be equal...

Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 σελίδες
...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...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part, shall be...

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 318 σελίδες
...and each of the parts, are together equal to the square of the whole line. c B Let the straight Ijne AB be divided into any two parts in the point C ; the rectangle AB.BC, together with the rectangle AB.AC, is equal to the square of AB ; or AB.AC + AB.BC=AB2....

Middle-class education. 2, Τόμος 18

Middle-class education - 1857
...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...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight...




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