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 of the line between the points of section, is equal to the square of half the line. Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 56
by Euclides - 1845 ## Calendar of the University of Sydney

University of Sydney - 1902 - 640 pages
...to the sides, shall be a rhombus. 4. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal...between the points of section is equal to the square on half the line. 5. Shew how to divide a given straight line internally or externally so that the... ## Science Examinations ... Reports, Etc

1904 - 386 pages
...unequal parts; show that 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. A straight line is divided into two parts; show that the rectangle contained by the... ## A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...equally and also unequally, 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. I. 46. I. 31. I. 43. Let the straight line AB be divided equally at P, and unequally... ## School Science and Mathematics, Volume 20

Education - 1920 - 928 pages
...theorem you have that the rectangle upon the two unequal segments, which is 21 by construction, plus the square of the line between the points of section, is equal to 25, the square on half the line. This gives 25 — 21 or 4, as the square of that length, 2 as the... ## Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - Mathematics - 1909 - 444 pages
...unequal parts, prove that the rectangle contained by the two unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Compare the lengths of the two unequal parts, if the rectangle contained by them... ## Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
...is equal to half the base. 8 6. (a) 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 section, is equal to the square on half the line. 5— II. 2 (b)... ## The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...into two unequal parts, then 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. Show that, if two adjacent sides of a rectangle are together equal to a given straight... ## Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1917 - 186 pages
...into two unequal parts, then the rectangle contained hy the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. A point S moves from one end of a line PQ. to the other end. Where is S when the... ## The Irish Law Times and Solicitors' Journal, Volume 37

Law - 1903 - 960 pages
...parallelogram is double of the triangle. 5. If a 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 part between the points of section, is equal to the square on half the line. 4. On a given right... 