 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.  Elementary Geometry: Practical and Theoretical - Page 206by Charles Godfrey, Arthur Warry Siddons - 1903 - 355 pagesFull view - About this book
 | 1904 - 386 pages
...one section. A. '21. A straight line is divided into two equal, and also into two unequal parts; show that the rectangle contained by the unequal parts,...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... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...EUCLID-S ELEMENTS. PROPOSITION 5. THEOREM. If a straight line is divided equally and also unequally, the rectangle contained by the unequal parts, together...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... | |
 | University of Calcutta - 1907 - 446 pages
...into two eqnal parts and also into two uncqnnl parts, the rectnngle contained by the unequal purls, together with the square on the line between the points of section, is eqnal to the sqnare on half the line. Enunciate the Proposition corresponding to the algebraical... | |
 | Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...into two equal parts, and also into two 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... | |
 | Sir Gooroodass Banerjee - Education - 1910 - 380 pages
...rectangle contained by its equal segments, is equal to the rectangle contained by the unequal segments, together with the square on the line between the points of section, it is clear that the rectangle contained by the segments of a line has the maximum value when the segments... | |
 | Alberta. Department of Education - Education - 1911 - 226 pages
...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...square on the line between the points of section, is equal to the square on half the line. 5— II. 2 (b) Give the algebraic formula for the theorem... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...Prove that, if a straight line is divided into two equal parts and also into two unequal parts, then the rectangle contained by the unequal parts, together...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... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...Prove that, if a straight line is divided into two equal parts and also into two unequal parts, then the rectangle contained by the unequal parts, together...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... | |
 | Newfoundland Council of Higher Education - 1917 - 184 pages
...straight is divided into two equal parts and also 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.... | |
 | Law - 1903 - 960 pages
...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 line... | |
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