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 الكتب الكتب 51 - 60 من 192 فيIf a straight line be divided into any two parts, the square of the whole line is....
If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - الصفحة 41
بواسطة Euclides - 1816 - عدد الصفحات: 528
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## Minutes of the Committee of Council on Education

...to a given triangle, and have one of its angles equal to a given rectilineal angle. Sec/ion 2. 1. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. 2. If a straight line be divided into two equal and also into two unequal parts, the squares of the...
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## A Treatise on Geometry and Its Application in the Arts

Dionysius Lardner - 1840 - عدد الصفحات: 314
...several rectangles under the line and each of its parts. (242.) If a line be divided into two or more parts, the square of the whole line is equal to the squares of the several parts together with twice the rectangles under every pair of parts. Let theline AB (fig.l 1...
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## Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...by the parts. F T» PROP. IV. THEOR. If a straight line (AB) be divided into any two parts (AF, FB), the square of the whole line is equal to the squares of the parts, together with twice the rectangle contained by the parts. Upon AB describe the square ACDB ;...
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## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...by the whole line and that part, together with the square of the other part. PROP. VIII. THEOR. If a straight line be divided into any two parts, the square of the sum of the whole line and one of its parts is equal to four times the rectangle contained by the whole...
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## United States Calculator: Or, Arithmetic Simplified

John M'Nevin - 1841 - عدد الصفحات: 280
...manner 22 = 2 x 10 = 20+ 2 = 2 tens and 2 over. Hence, from the properties of Euclid. 4, Lib. 2. "If a straight line be divided into any two parts the...with twice the rectangle contained by the parts." Thus, let AB be divided into two parts, 6 equal to 6 squared plus 4 squared, together with twice the...
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## The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - 1841 - عدد الصفحات: 280
...manner 22 = 2 x 10= 20 + 2 = 2 tens and 2 over. Hence, from the properties of Euclid. 4, Lib. 2. "If a straight line be divided into any two parts the...with twice the rectangle contained by the parts." Thus, let AB be divided into two parts, 6 and 4, the square of the whole line 10, which is 100, is...
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## An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1841 - عدد الصفحات: 332
...than in ordinary language. The proposition, (Euc. 4. 2.) that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, together with tv/ice the product of the parts, is demonstrated, by involving a binomial. Let the side of a square...
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## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...twice the rectangle contained by the whole and that part, together with the square of the otherpart. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC shall be equal to twice the rectangle AB, BC, together with the...
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## The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - 1842 - عدد الصفحات: 308
...and AE, and AD and EF, and AD and FB: thus expressed, AD . AB=AD . AE +AD . EF+AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let the line AB be the sum of any...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - عدد الصفحات: 317
...contained by the whole and each of the parts, are together equal to the square of the whole line. F c B Let the straight line 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...
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