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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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...Wherefore, if a straight line, &c. Q.. ED PROP. VII. THEOR. 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 in A 5% .Gei" 4tS -•1• ..OFEUCLJD. .•.*«-£,•...

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...• "" "" " if a straight line, &c. Q, ED PROP. VII. THEOR. 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 in the point € ; the squares of AB, BC,...

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

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...Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line, ajid of one of the parts, are equal to twice the rectangle...part, together with the square of the other part. Prop. \ III. Theor. If a straight line be divided into any two parto, four times the rectangle contained...

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...CBa=C/D3. Therefore, if a straight line, &c. Q, ED PffP. VII. T If a straight line be-cKvided into any two parts, the squares of the whole line, and of one...equal to 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...

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

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...square of CD. Wherefore, if a straight line, &c. Q. £. D. whole line, and of one of the parts, яге equal to twice the rectangle contained by the whole...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point С ; the squares of AB, BC are...

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

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...a straight line, &e. Q. E, D. PROP. ViI. THfiOR. Jf a straight line be divided into any two partsj 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 of the other part....

Elements of Arithmetic, Algebra, and Geometry

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...the square of half the line. Cor. 3. If a straight line AB, be divided 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 that part, together with the square of...

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...Wherefore, if a straight line, &c. Q. £. JO. PROP. VII. THEOR. 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 in the point C: the squares of AB, BC shall...

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....BC. Therefore, the square &c. QED COR. 1. If a straight line AB be divided into any two parts AC, CB, 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 that part together with the square...

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

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...=CD". Therefore, if a straight line, &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and of one...whole and that part, together with the square of the oilier part. Let the straight line AB be divided into any two parts in the point C; the squares of...




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