 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.  The English Journal of Education - Page 2721851Full view - About this book
 | Moffatt and Paige - 1879 - 378 pages
...the area of a triangle whose altitude is (a) units long, and whose base is (5) units long, is £ ab ? 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. By the 41st proposition... | |
 | Euclides - 1879 - 146 pages
...on the line intercepted between the other equal angle and the perpendicular. PROPOSITION V. THEOREM. 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 lint. Let AB be divided... | |
 | 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 - 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 - 1486 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...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 by... | |
 | Oxford univ, local exams - 1880 - 396 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...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 to... | |
 | Bombay city, univ - 1880 - 754 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... | |
 | 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... | |
 | 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 - 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... | |
 | Education Ministry of - 1880 - 238 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... | |
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