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If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 117
by Charles Reiner - 1837 - 215 pages

## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent to the squares of the two parts, together with twice the rectangle contained by 'the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the...

## How to Prepare for Civil Service Competition, Under the New Regulations

Patrick Weston Joyce - Civil service - 1871 - 170 pages
...divided into any two parts, the square deseribed on the whole line is equal to the squares deseribed on the two parts, together with twice the rectangle contained by the parts. 2. Deseribe a regular pentagon about a given cirele. 3. Similar triangles are to one another in the...

## Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...straight line be divided into any two parts, the square mi the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Or X Let the St. line AH be divided into any two parts in C. Then must sq. on AB = sum ofsqq. on AC,...

## The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...(Bk. IV. Prop. 1 1, Cor. 2) ; therefore AB2 is equal to AC2 + CB2 + 2 . AC . CB. PROPOSITION 13. If a straight line be divided into any two parts, the square of one of the parts shall be less than the sum of the squares of the whole line, and of the other part...

## Euclid's Elements of Geometry

Euclid - Geometry - 1872 - 284 pages
...under AC and CF. PROPOSITION IV. THEOREM. If a right line (AB) be divided into any two parts (in O) the square of the whole line is equal to the squares of the parts, together with twice the rectangle under the parts. On AB describe the square ACDB, and draw...

## The Calendar of Owens college, Manchester

Manchester univ - 1872 - 380 pages
...between them if the distance of the point from the centre be equal to the sum of their lengths ? 12. If a straight line be divided into any two parts, the square of one of the parts shall be less than the sum of the squares of the whole line and the other part, by...

## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...rectangle AB, BC, is equal to the rectangle AC, CB, together with the square of BC. -If a straiyht line be divided into any two parts, the square of...together with twice the rectangle contained by the "tarts. ca Let AB be divided into any two parts in C ; then the square of AB shall be equal to the...

## Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; then shall the square on the whole line...