| Joseph Wollman - 1879 - 120 páginas
...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, and also into two...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... | |
| Moffatt and Paige - 1879 - 506 páginas
...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 páginas
...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 páginas
...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 also into two...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 páginas
...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... | |
| Education Ministry of - 1880 - 238 páginas
...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 and also into two...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... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 páginas
...which are about the diameter of any parallelogram, are equal to one another. 3. If a straight line **be divided into two equal parts and also into two...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. Divide a given... | |
| James Russell Soley - 1880 - 346 páginas
...produced until EF=EB, and GJJ=DC, show that the line GF passes through A. "• 3. If a straight Hue **be divided into two equal parts and also into two...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. Prove that the... | |
| 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 páginas
...proposition of Euclid, Book II., be found in American or French Geometries? viz: "If a straight line **be divided into two equal parts, and also into two...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... | |
| Bombay city, univ - 1880 - 750 páginas
...diagonal through the same angular point, prove that the parallelogram is a rhombus. 2. If a straight line **be divided into two equal parts and also into two...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... | |
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