| Harvey Goodwin - Mathematics - 1851 - 196 pages
...four equal parts. In what case will the diameter bisect the angle of a parallelogram? 3. If a straight **line be divided into two equal parts, and also into...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
...shown of any other division of 8, as into 6 and 2, or 7 and 1.] BOOK II. PROP. V. THEOR. If a straight **line be divided into two equal parts, and also into...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... | |
| Benjamin Greenleaf - Algebra - 1852 - 352 pages
...c=3. Then 12=9+3; And 4Xl2X9+3 2 =(3X2X9) 2 ; 441 = 441. THEOREM XIII. 17O. If any quantity or number **be divided into two equal parts, and also into two unequal parts, the** sum of the squares of the two unequal parts will be double the squares of half the quantity, plus twice... | |
| Euclides - 1853 - 176 pages
...parallelograms 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...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
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight **'line be divided into two equal parts, and also into...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
...diameter of a square are likewise squares. PROPOSITION V. THEOR. If a straight line be divided inio **two equal parts, and also into two unequal parts,...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, John Playfair - Geometry - 1853 - 317 pages
...line is divided be denoted by a and b; then, (a+6)* PROP. V. THEOR. If a straight line bcdividedinto **two equal parts, and also into two unequal parts;...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... | |
| William Somerville Orr - Science - 1854 - 532 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... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...one of its angles equal to a given rectilineal angle. Is this a determinate problem? 6. If a straight **line be divided into two equal parts, and also into...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. Prove this proposition... | |
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