 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into tteo unequal parts ; the rectangle contained by the unequal...square on the line between the points of section, it equal to the square on half the line, Let the straight line AB be divided into two equal parts in... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...equal to a given rectilineal angle. 8. 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. 9. Describe a square... | |
 | War office - 1861 - 260 pages
...the same parallels are equal to one another. 2. If a straight line be divided into two equal 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. State and explain... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...upon the sides which contain the right angle. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square cf the line between the points of section is equal to the square of half the line. VOLUNTARY PORTION.... | |
 | Euclides - 1862 - 140 pages
...likewise squares. PROPOSITION 5.— THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by...square on the line between the points of section, ^s equal to the square on half the line. (References— Prop. I. 31, 34, 36, 43, 46; II. 4, cor.) Hypothesis.... | |
 | Euclides - 1862 - 172 pages
...two unequal parts ; then 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. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...the rectangle contained by the parts. 9. 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. 10. Divide a given... | |
 | Euclides - 1864 - 262 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...section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts in... | |
 | Euclides - 1864 - 448 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...section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts in... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...vowels e shall never stand together 1 10. If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by...of section is equal to the square on half the line. Hence show that a square is the greatest rectangle of given perimeter. 11. Describe a circle about... | |
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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. 
