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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 first and second books of Euclid explained to beginners, by C.P. Mason - Page 144
by Euclid, Charles Peter MASON - 1872

The Manitoba School Question

Frederick Coate Wade - Church and state - 1895 - 168 pages
...parallelogram equal to a given triangle, and having an angle equal to a given angle. 4. If a straight line be divided into two equal parts, and also into...of section is equal to the square on half the line. Construct a rectangle equal to the difference between two given squares. 5. To divide a given straight...

Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...iinc,]n,il juirte, tlic sum of the rectangle contained b>J tht «iirt/ii,i/ flirts and tJm fyuaiv on lh« line between the points of section is equal to the square on half the line*. Let the straight line A ft be divided into two equal parts at the point C, and into two unequal parts...

Examinations Papers

1896 - 774 pages
...sides of a triangle are joined it is divided into four equal triangles. 4. Prove that if a line is divided into two equal parts and also into two unequal...the unequal parts together with the square on the part between the points of section is equal to the square on half the line. Hence show that of all...

Annual Report of the Commissioners ..., Volume 64

1898 - 844 pages
...of a quadrilateral bisect each other it is a parallelogram. 3. If a line be divided into two equal and also into two unequal parts the rectangle contained by the unequal [»arts is less than the square of half the Hue by the square of the line between the points of section....

Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1072 pages
...divided into two equal parts and also into two 16 unequal parts, the rectangle contained by the two unequal parts, together with the square on the line...of section is equal to the square on half the line. 4. If in a circle two straight lines cut one another, which do not both pass 16 through the centre,...

Examination Papers

University of Toronto - 1900 - 1160 pages
...EXAMINATIONS : SEPTEMBER, 1900. JUNIOR MATRICULATION. GEOMETRY. Examiner: HJ DAWSON, BA 1. If a straight line be divided into two equal parts and also into...section, is equal to the square on half the line. (II. 5.) Divide a given straight line into two parts such that the rectangle contained by them shall...

A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...6)2 = a2 + V + 2a6. PROPOSITION 5. THEOREM. If a straight line is divided equally and also unequally, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. A (X. p £ QB H I. 46. I. 31. I. 43. C ED Let the straight line AB be divided equally at P, and unequally...

Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - Education - 1900 - 906 pages
...D. Prove CD is greater than ED. 10. If a straight line be divided equally and unequally, show that the rectangle contained by the unequal parts together...of section is equal to the square on half the line. 11. If from a point on the circumference of a circle a tangent and a chord be drawn ; show that the...