Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 53
by Euclides - 1841 - 351 pages
Full view - About this book

Trigonometry ...

James McDowell - 1866 - 124 pages
...f- = tan - - - 1. 1 + tan|a \4 2/ If a + ft + 7 = ^, prove that cos a + cos /3 + cos 7 If an angle be divided into two equal parts and also into two unequal parts, the rectangle of the sines of the unequal parts, together with the square of the sine of the angle between the dividing...
Full view - About this book

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...parallellograms about the diameter of a square are likewise squares. PROPOSITION 5. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by iht unequal parts, together with the square on the line between the points of section, is equal to...
Full view - About this book

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...about the diameter of a square are likewise squares. PROPOSITION 5. THEOREM. If a straight line 1ie divided into two equal parts and also into two unequal parts, the rectangle contained l)y the unequal parts, together with the square on the line between the points of section, is equal...
Full view - About this book

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...= a' — m*, to each of these equals add m* ; .'. (a + m) (a — m) + m' = a*. That is, if a number be divided into two equal parts, and also into two unequal parts, the product of the unequal parts together with the square of half their difference, is equal to the square...
Full view - About this book

Papers for the schoolmaster, Volume 4

1868 - 344 pages
...rectangular areas are represented by the product of two numerical symbols. SECTION VI. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectal gle contained by the unequal parts, together with the square of the line between the points...
Full view - About this book

Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...be divided into two equal parts, and aha into two unequal parts, the rectangle contained by the two unequal parts together with the square of the line between the points of division, will be equivalent to the square on one half the line. Let AB be a line bisected in (7, and...
Full view - About this book

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...Psts. 2 and 3 ; 3. I. 10. I. To bisect a given finite st. line. Pst. 1. DEM. — 5. II. If a st. line be divided into two equal parts, and also into two...rectangle contained by the unequal parts together with the squai e of the line between the points of section, equals the square of half the line. Def. 15 and...
Full view - About this book

Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 258 pages
...always be described on a given straight line equal to a given rectilineal figure ? 4. If a straight line be divided into two equal parts, and also into two...section, is equal to the square of half the line. 5. Draw a straight line to touch a given circle from a given point without it. Algebra. 1. Show, by...
Full view - About this book

The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...of the other. A complete demonstration is required. 4. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained...section, is equal to the square of half the line. Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation in which one...
Full view - About this book

The National Schoolmaster, Volumes 7-8

Schools - 1877 - 606 pages
...parts, so that the square on one part shall be double of the square on the other. 2. If a straight line be divided into two equal parts, and also into two...contained by the unequal parts, together with the square on. the line between the points of section, is equal to the square on half the line. Algebra. a'ly'z...
Full view - About this book




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