 | Joseph Wollman - 1879 - 120 pages
...therefore they are between the same parallels (I. 39). Therefore DE is parallel to EC. QED SECTION IV. 1. If a straight line be divided into two equal parts,...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. Construct a rectangle... | |
 | University of Oxford - Greek language - 1879 - 412 pages
...their other angles shall be equal, each to each, namely those to which the equal sides are opposite. 3. If a straight line be divided into two equal parts...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. 4. The diameter... | |
 | Moffatt and Paige - 1879 - 506 pages
...likewise squares. Proposition V. Theorem. If a straight line be divided into two equal parts and alsc 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. Let the straight... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...line be bisected and produced, the rectangle of the whole line thus produced and the part produced, together with the square of the line between the points of section, w equal to the square of the line made up of the half and the part produced. For, CD being bisected... | |
 | Pupil teachers - 1880 - 1516 pages
...AB be divided in C, the squares on AC, CB together are least when C is the middle point of AB. 5.If a straight line be divided into two equal parts, and...points of section, is equal to the square of half the line. The difference between the squares on any two straight lines is equal to the rectangle contained... | |
 | Oxford univ, local exams - 1880 - 394 pages
...line, an acute-angled triangle, a rhomboid. 2. Bisect a finite straight line. 3. If a straight line is divided into two equal parts and also into two unequal...points of section, is equal to the square of half the line. 4. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...a conical tent 8 feet in perpendicular height with a radius of 6 J feet ? t, 2 MATHEMATICS. (2.) 1. If a straight line be divided into two equal parts,...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. State and explain... | |
 | Bombay city, univ - 1880 - 750 pages
...angles with the diagonal through the same angular point, prove that the parallelogram is a rhombus. 2. If a straight line be divided into two equal parts...contained by the unequal parts, together with the square on the line Ijetween the points of section, is equal to the square on half the line. Deduce that the... | |
 | Education Ministry of - 1880 - 248 pages
...square on BO is less than four times the square on AD, the triangle BAG is an acute-angled triangle. 3. If a straight line be divided into two equal parts...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 the square... | |
 | Charles Henry Winston, Richard M. Smith, D. Lee Powell, John Meredith Strother, H. H. Harris, John Patrick McGuire, Rodes Massie, William Fayette Fox, Harry Fishburne Estill (F.), Richard Ratcliffe Farr, John Lee Buchanan, George R. Pace - Education - 1880 - 516 pages
...Question. — Can the 5th proposition of Euclid, Book II., be found in American or French Geometries? viz: "If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square of one-half the line." This truth... | |
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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 of the line between the points of section, is equal to the square of half the line. 
