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

## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...and that this = AC* + CE* + EG* + GF*, and that these are = 2 ^cs + 2 CD*. 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 xf\' together...

## 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...