 | Euclid, Thomas Tate - 1849 - 120 pages
...are likewise squares. PROP. V. THEOR. 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. Let the straight... | |
 | 1850 - 400 pages
...either of the interior opposite angles. 2. If a right 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. 3. In every triangle,... | |
 | Education - 1851 - 502 pages
...to two right angles. SECTION II.—1. 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. 3. The opposite... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...bisect the angle of a parallelogram? 3. 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. 4. Equal straight... | |
 | Euclides - 1852 - 152 pages
...or 7 and 1.] BOOK II. PROP. V. THEOR. 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. Let the straight... | |
 | Euclid - Geometry - 1853 - 176 pages
...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 in area... | |
 | Euclides - Geometry - 1853 - 176 pages
...likewise squares. PROPOSITION V. — THEOREM. 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 Une. LET the straight... | |
 | Euclides - 1853 - 146 pages
...are likewise squares. PROP. V. THEOREM. 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. Let the straight... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...likewise squares. PROPOSITION V. THEOR. If a straight line be divided inio 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. Let the straight... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...unequal parts (in D), the rectangle contained by the unequal parts, together with the square of (CD), the line between the points of section, is equal to the square of hilf the line : that is, DB H « 46 I. "upon С В describe the square С F : » draw BE ; through... | |
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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 on the line between the points of section, is equal to the square on half the line. 
