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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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...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. Prop. VIII. Theor. If a straight line be divided into any two parts, four times the rectangle contained...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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...straight line AB be divided into any two parts in Upon ABdescribeMhe square ADEB, and construct the'46. l. figure as in the preceding propositions; and...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 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...straight line AB be divided into any two parts in A 5% .Gei" 4tS -•1• ..OFEUCLJD. .•.*«-£,• it1*4* the point C; the squares of AB, BC are equal...

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

John Playfair - 1819 - 317 σελίδες
...twice the rectangle contained by the whole andfthat part, together with the square of the other part. i Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC, are equal to twice the rectangle AB.BC, together with the square of AC, or AB3+BC3=2AB.BC+AC3....

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

John Playfair - 1819 - 333 σελίδες
...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,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 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...the straight line AB be divided into any two parts iu B the point C; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...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 С ; the square of AB is equnl to the squares of AC, CB, and to twice the rectangle contained by AC,...

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

Euclid, John Playfair - 1826 - 320 σελίδες
...the squares of the whole line, and of one of the parts, are equal to twiee the reetangle eontained by the whole and that part> together with the square...other part. Let the straight line AB be divided into an y two parts in the .joint C ; the squares of AB, EC, are equal to twiee the reetangle AB.BQ, together...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...into any ^yo parts, AC, CB, the squares of the whole line, and of one of the parts, are equivalent to twice the rectangle contained by the whole, and...part, together with the square of the other part. By the Prop. AB2 = AC2+CB2 + 2AC.CB, add CB2 to each; then AB2+CB2 = AC2 + i?CB2 + 2AC.CB ; but, AC.CB...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...square of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be divided into any two parts in the point c ; four times the rectangle contained under AB, вс, together with the square of AC, is equal to the...




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