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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.
Elements of Geometry and Conic Sections - Page 63
by Elias Loomis - 1857 - 226 pages

## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...If a line be divided into two parts, the square on the whole is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Let А В be divided into two parts in С ; then the square on А В = the sum of the squares on А С,...

## Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 pages
...straight line be divided into any two parts, the square on the whole line will be equal to the squares on the two parts, together with twice the rectangle contained by the parts. _& s: nr JS Let the straight line PQ be divided into any two parts in C. Then shall the square on PQ...

## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 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. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and...

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

Robert Potts - Geometry, Plane - 1876 - 446 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. 19. In an obtuse angled triangle, is the sum of the sides containing the obtuse angle greater or less...

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

Elias Loomis - Geometry - 1877 - 458 pages
...parallel. PROPOSITION VIII. THEOREM. If a straight line is divided into any two parts, the square of the whole line is equivalent to the squares of the...squares on AC, CB, together with twice the rectangle contained.by AC, CB ; that is, AB2,or (AC+CB)2=AC2+CB2+2ACxCB. Upon AB describe the square ABDE; take...

## The College calendar. [Continued as] The College calendar for the United ...

Scotland free church - 134 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. 4. Parallelograms upon equal bases and between the same parallels are equal to one another. 5. Describe...

## A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...Prove that if a straight line be divided into any two parts, the square on the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. The parallelograms about the diagonal of a square are also squares. Same proposition. If a straight...

## Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - Geometry - 1879 - 70 pages
...geometrically ; such as that, if a 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. This proposition is one of first consequence, as having furnished the key to the extraction of the...