 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.  The Elements of Geometry - Pagina 103door George Bruce Halsted - 1886 - 366 pagina’sVolledige weergave - Over dit boek
 | George Lees - 1826 - 276 pagina’s
...parts AD, DB ; the rectangle AD.DB, contained by the unequal segments, together with the square of CD, the line between the points of section is equivalent to the square of AC or CB half the line. For AD is the sum of AC, CD, and DB is their difference. Now, by the Prop.... | |
 | Euclides - 1842 - 316 pagina’s
...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 equivalent to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclid - 1853 - 176 pagina’s
...the segments, together with twice the rectangle under * each pair of segments. / The rectangle under the unequal parts, together with the square on the line between the points of section, is equal in area to tho square on half the line. .The sum of the squares on the unequal parts is equal... | |
 | Sandhurst roy. military coll - 1859 - 672 pagina’s
...straight line be divided into two equal parts, aid also into two unequal parts, the rectangle containet by the unequal parts together with the square on the line between the points of section is equal to tie square on half the line. 4. The angles in the same segment of a circle are equaf to one... | |
 | Euclides - 1860 - 288 pagina’s
...about the diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| If a straight line be divided into two equal parts, and also into two unequal...square on the line between the points of section, is equal to the square on half the line. Given the straight line AB, divided into two equal parts in the... | |
 | University of Oxford - 1863 - 316 pagina’s
...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 and also into two unequal...square on the line between the points of section, is equal to the square on half the line. 4. Bisect a given rectilineal angle. 5. Shew that two straight... | |
 | Euclides - 1864 - 448 pagina’s
...about the diameter of a square, are likewise squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into two unequal...square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the... | |
 | Euclides - 1864 - 262 pagina’s
...about the diameter of a square, are likewise squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into two unequal...square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the... | |
 | Woolwich roy. military acad - 1864 - 588 pagina’s
...under the restriction that the tvco vowels e shall never stand together 1 10. If a straight line be divided into two equal parts, and also into two unequal...square on the line between the points of section is equal to the square on half the line. Hence show that a square is the greatest rectangle of given perimeter.... | |
 | Robert Potts - 1865 - 528 pagina’s
...about the diameter of a square, are likewise squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into two unequal...square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the... | |
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