 | Education - 1851 - 626 pages
...'2. Draw a straight line at right angles to a given straight line from ORC extremity of the same. 3. If there be two straight lines, one of which is divided...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Hence prove... | |
 | Euclides - 1852 - 152 pages
...with the exception of one of the parallelograms H about the diameter.] F,<*" BOOK IL PROP. T. THEOR. If there be two straight lines, one of which is divided...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and EC... | |
 | Euclides - 1853 - 146 pages
...which are at the opposite angles of the parallelograms which make the gnomon." PROP. I. — THEOREM. If there be two straight lines, one of which is divided...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...opposite angles of the parallelograms which make the gnomon." J PROPOSITIONS. PROPOSITION I. THEOB. If there be two straight lines, one of which is divided...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
 | Euclides - Geometry - 1853 - 176 pages
...the opposite angles of the parallelograms which make the gnomon. Ъ о k PROPOSITION I. — THEOREM. If there be two straight lines, one of which is divided...contained by the two straight lines is equal to the rectangles contained by tlie undivided line, and the several parts of the divided line. LET a and b... | |
 | Euclid - Geometry - 1853 - 176 pages
...point. If a line be cut in extreme and mean ratio. If a straight line be divided into three parts. If there be two straight lines, one of which is divided into any number of parts. If two straight lines be each of them divided into any number of parts. If two straight lines be taken.... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...L— Tn-EOBEM. If there be two straight lines (A and В С), one of which (BC) is divided into miy number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts (BD, DE, &c.) of He divided line.... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...described upon the other two sides of it ; the angle contained by these two sides is a right angle. 6. If there be two straight lines, one of which is divided...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. 7. To describe... | |
 | Euclides - 1856 - 168 pages
...angle CAB; but CAD is a right angle, wherefore CAB is also a right angle. XLVIII.— EUCLID II. 1. If there be two straight lines one of which is divided...contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. Let A and BC... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...side subtending the right angle is equal to the square under the sides containing the right angle. If there be two straight lines, one of which is divided...number of parts, the rectangle contained by the two lines is equal to the rectangles contained by the undivided line, and the several parts of the divided... | |
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If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. 
