Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" 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 of half the line bisected, is equal to the square of the straight line which is made... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 83
by Euclides - 1871
Full view - About this book

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

John Playfair - Euclid's Elements - 1832 - 358 pages
..."(AC+CD)(AC-CD)" PROP. VI. THEOR. If a straight line be bisected, and produced to any point; therect angle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
Full view - About this book

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

John Playfair - Euclid's Elements - 1833 - 346 pages
...taking away the equal rectangles 2BC. CD and 2AC.CD, there re" mains AD2+DB2=2ACH2CD2." 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...
Full view - About this book

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

Euclides - 1834 - 518 pages
...difference. PROPOSITION VI. THEOR. — If a straight line be bisected, and produced to any point, lke rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
Full view - About this book

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

Euclid - 1835 - 540 pages
...AD, DB are 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 double...
Full view - About this book

The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. XXIII. 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...
Full view - About this book

Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...geometrically, or as it applies to lines ; and for this purpose it is usually enunciated in these tcnns : " 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...
Full view - About this book

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...double of the square of half the line, and of the square of the line between the points of section. X. 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...
Full view - About this book

Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...geometrically, or as it applies to lines ; and for this purpose it is usually enunciated in these terms : " 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...
Full view - About this book

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

Euclides - Euclid's Elements - 1837 - 112 pages
...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...
Full view - About this book

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 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...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF