Books Books 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 Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...line be divided into two equal and also into two unequal parts, the rectangle of the unequal parts with the square on the line between the points of section, is equal to the square on half the line. (Euclid, B. II, prop. 5). 49. The square on the straight line, drawn from the vertex of an isosceles... ## Numbers: Their Occult Power and Mystic Virtue: Being a Résumé of the Views ...

William Wynn Westcott - History - 1890 - 64 pages
...between the parts. All even numbers also (except the duad — two — which is simply two unities), may be divided into two equal parts, and also into two unequal parts, yet so that in neither division will either parity be mingled with imparity, nor imparity with parity... ## Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...squares on the two parts, together with twice the rectangle contained by the two parts. 5. If a straight line be divided into two equal parts, and also into...section, is equal to the square on half the line. 6. If a straight line be bisected and produced to any point, the rectangle contained by the whole line... ## Examinations Papers

1891 - 644 pages
...triangle is equal to the sum of the squares on the other two, the latter contain a right angle. 4. If a line be divided into two equal parts, and also into...the unequal parts, together with the square on the part between the points of section, is equal to the square on either of the equal parts. 5. If a line... ## A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Book 2

James Blaikie - 1892 - 74 pages
...shall be equal to the square on the line made up of the whole and the first part. 9. If a straight line be divided into two equal parts, and also into two unequal parts, the sum of the squares on the two unequal parts shall be double the sum of the squares on half the line... ## Sessional Papers, Volume 26, Issue 8

Canada - 1893 - 1092 pages
...EXAMINATION FOR ADMISSION AS SUEVEYOR. I'LANE GEOMETRY AND MENSURATION. Time, 3 Hours. 1. If a straight line be divided into two equal parts and also into...section, is equal to the square on half the line. 2. The angles in the same segment of a circle are equal to one another. 3. Describe a circle about... ## Annual Report

Canada. Department of the Interior - 1893 - 1280 pages
...straight line be divided into two equal parts and also into two un equal parts, the rectangle contained 07 the unequal parts, together with the square on the...section, is equal to the square on half the line. 久 乱 生 6 The angles in the same segment of a circle are equal to one another. De8t 竹 b０ 其... ## Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...of the rectangle AE, EB, or equal to the sum of the squares on AE, EB. PROPOSITION 5. If a straight line be divided into two equal parts and also into two unequal parts, the sum of the rectangle contained by the unequal parts and the square on the line between the points of... ## An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...parallelogram are equal to one another and the diagonal bisects the parallelogram. 4. If a straight line be divided into two equal parts and also into...section, is equal to the square on half the line. 5. To construct a square that shall be equal to a given rectilinear figure. For those offering Plane... 