| Euclides - 1871 - 136 pages
...perpendicular. SE 6 If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. JD K. S. Let the st. Hue AB be divided equally in C and unequally inZ>. Then must rect. AD, DB together... | |
| Edinburgh univ - 1871 - 392 pages
...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. Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation... | |
| Civil service - 1871 - 258 pages
...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. 5. Draw a straight line to touch a given circle from a given point without it. Algebra.... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 on the line between the points of lection, is equal to the square on half the line. Let the st. line AB be divided equally in C and unequally... | |
| Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...other two sides. (I. 47.) 2. That if a line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the part between the points of section is equal to the square on half the line. (II. 5.) Let A be the given... | |
| Henry Major - Student teachers - 1873 - 580 pages
...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 AB be divided into two equal parts in the point C, and into two unequal parts... | |
| Euclides - 1874 - 120 pages
...PROPOSITION 5. 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...straight line AB be divided into two ' • equal parts at the point C, and into two unequal parts at the point D : the rectangle AD, DB, together with the... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...unequal parts, the rectangle contained by the two unequal parts, together with the square on the part between the points of section, is equal to the square...straight line AB be divided into two equal parts in C, and into two unequal pai.ts in D; it is required to prove that the rectangle contained by the two... | |
| Edward Atkins - 1874 - 428 pages
...parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with t/ie square on the line between the points of section, is equal to the square on half t/ie line. Let the straight line AB be bisected in C, and divided unequally in D ; AD • DB The rectangle... | |
| Edward Atkins - 1874 - 426 pages
...5. — 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 on the line between the pointg of section, is equal to the square on half the line. Let the straight line AB be bisected in... | |
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