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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 Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 52
των John Playfair - 1837 - 318 σελίδες
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 σελίδες
...line 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...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,...

Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...THEOREM. If a straight line (AB) be divided into any two parts (in C), the squares of the whole lint, and of one of the parts, are equal to twice the rectangle contained by the whole and Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See Diagram,...

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

Euclides - 1855
...С В is equal to the square of СD. Р B, O P. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one...part, together with the square of the other part. Let the straight line AB be divided into any two parts at the point С. The squares of AB and B С...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...sides, the angles contained by those sides is a right angle. 4. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole line and one of the parts, together with...

Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 σελίδες
...together with twice the rectangle contained by the parts. 2. If a straight line be divided into any two parts, the squares of the whole line, and of one...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...

National Society's Monthly Paper

1856
...one of its angles equal to a given rectilineal angle. and 2. If a straight line be divided into any two parts, the squares of the whole line, and of one...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...

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

Cambridge univ, exam. papers - 1856
...complements be a square, the parallelogram will also be a square. 4. If a straight line be divided into any two parts, the squares of the whole line and of one...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...

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

John Playfair - 1856 - 318 σελίδες
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC, are...

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

Euclides - 1856
...rectangle BC, BD ; that is (Prop. 49.), to the square of C D. LII. If a straight 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 that part together with the square of the...

Middle-class education. 2, Τόμος 18

Middle-class education - 1857
...Give reasons for your answer. 32. Prove geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one...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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