Books Books
IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 58
by Euclides - 1841

## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...BC added together in one straight line. Wherefore, if a straight line, &c. QED PROP. IX. THEOR. If a straight line be divided into two equal, and also...square of the line between the points of section. From the point c draw (i. 11.) CE at right angles to AB, and jnake it equal to AC or CB, and join EA,...

## Papers for the Schoolmaster, Volume 2

1852 - 314 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the paits. 2. If a straight line be divided into two equal and also...square of the line between the points of section. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle and...

## Papers for the schoolmaster, Volume 3

1867 - 336 pages
...up of the whole and that part. Prove this also algebraically. SECTION VI. 1. If a str tight line he divided into two equal, and also into two unequal...square of the line between the points of section. , Illustrate this by Algebra. 2. Divide a given straight line into two parts, so that, the rectangle...

## Annual Report of the Commissioners ...

1851
...straight line be d ividedinto two equal and 20 7 also into two unequal parts, the squares of the imequal parts are, together, double of the square of half the line, and of the square of the intermediate part, . 4. Explain what is meant by the term multiplica— 17 7 tion, when the factors...

## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...is, of AB and BC added together in one straight line. H X G T / K / / R BOOK II. PROP. IX. THEOR. If a straight line be divided into two equal, and also...points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts: the squares of AD, DB are together...

## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...together in one straight line. Wherefore, if a straight Une, &c. QED PROPOSITION IX. — THEOREM. If a straight line be divided into two equal, and also...points of section. LET the straight line ab be divided at the point С into two equal, and at d into two unequal parts : the squares of ad, db are together...

## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...BC added together in one straight line. Wherefore, if a straight line, &c. QED PROP. IX. THEOREM. If a straight line be divided into two equal, and also...points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts; the squares of AD, DB, are together...

## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...added together in one straight line. Wherefore, if a straight line, etc. QED PROPOSITION IX. THEOR. If a straight line be divided into two equal, and also...points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts ; the squares of AD, DB are together...