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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.
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 175
by Richard Anthony Proctor - 1887 - 180 pages

## Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...less than four times the square on AD, the triangle ABC is an acute-angled triangle. 3. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of...

## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...middle points the diagonals. From (II. 9) Add and apply (II. 4, Cor. 2) and (II. 9). 6. If a straight line be divided into two equal, and also into two unequal, parts, the rectangle contained by the unequal parts, together with the square of the line between the points of...

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

W J. Dickinson - Geometry - 1879 - 44 pages
...to describe a square that shall be equal to a given rectilineal figure. Deductions. 1. If a straight line be divided into two equal, and also into two unequal parts, the part between the points of section is •equal to half the difference of the unequal parts. 2. If the...

## Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...-3010300 loglo 3 = -4771213 log,07 = -8450980 Iog10 1-627 = -2118930 TT = 3-1416. 1. If a straight line bo divided into two equal, and also into two unequal...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....

## Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...Give a geometrical construction for a square three times as great as a given square. 4. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...

## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...of AB and BC together. Wherefore, if a, straight line &c. QED PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...

## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...these conclusions is the proof of the Proposition itself (as in 5). r PROP. IX. THEOREM. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts art together double of the square on half the line and of the square on the...

## Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...together equal to the square on the whole line. Give the corresponding result in Algebra. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...