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 Books Books 31 - 40 of 194 on Prove it. 6.If a straight line be bisected and produced to any point, the rectangle.... Prove it. 6.If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced together with the -square on half the line bisected, is equal to the square on the straight line... Government examinations, a companion to 'Under government' and a key to the ... - Page 88
by Joseph Charles Parkinson - 1860 ## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 390 pages
...AD*=AC8+CD2+2AC.CD. Add these equals together, and from the sums take 2AC.CD; then PROP. X. THEOR. IF a straight line be bisected, and produced to any point, the squares of the whole line thus produced, and of the part of it produced, are together double of the... ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...squares of half the line, and of the part intermediate between the points of section. PROP. X. THEOR. If a straight line be bisected, and produced to any point, the squares of the whole produced line, and of the produced part, are together double of the squares of... ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...AD, DB are double of the squares of AC, CD. Therefore, if a straight line, &c. a ED PROP. X. THEOR. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double... ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...are equivalent to double the squares of AC, CD. If therefore a straight line, &c. QED PROP. X. THEOR. IF a straight line be bisected, and produced to any point • the square of the whole line thus produced, and the square of the part of it produced, are together equivalent... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 pages
...algebraical expression, where a denotes AC, and b denotes CD ; hence, a+i =AD, a— i=DB. PROP. X. THEOR. b If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double... ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...of the squares of AC, CD. If therefore a straight line be divided, &c. QED PROPOSITION X. THEOREM. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double... ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Robert Simson - Geometry - 1845 - 199 pages
...are double of the squares of AC, CD. If therefore a straight line, &c. QED PROPOSITION X. THEOB. — If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double... ## The first six and the eleventh and twelfth books of Euclid's Elements; with ...

James Thomson - Geometry - 1845 - 358 pages
...these equals together, and from the suras take 2 AC.CD : then '=2 A(J2-(-2 CD2. PROP. X. THEOR. — If a straight line be bisected, and produced to any point, the squares of the whole line thus produced, and of the part of it produced, are together double of the... ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...are together double of the squares of AC, CD. Wherefore, If a straight line Ssc. QED PROP. X. THEOR. If a, straight line be bisected and produced to any point, the squares of the whole line thus produced and of the part of it produced are together double of the square... 