 | Robert Simson - Trigonometry - 1806 - 546 pages
...which are at the B < opposite angles of the pa< rallelograms which make the gnomon.' G PROP. I. THEOR. IF there be two straight lines, one of which is divided...undivided line and the several parts of the divided line. D K H Book II. Let A and BC be two straight lines ; and let BC be divided *— Y— - ' into any parts... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...gnomon may also, ' for the sake of brevity, 4 be called the gnomon ' AGK, or EHC.' PROP. I. THEOR. IF there be two straight lines, one of which is divided...undivided line and the several parts of the divided line. Let A and BC be two straight lines, and let BC be divided into any parts in the points D, E ; the rectangle... | |
 | John Mason Good - 1813 - 714 pages
...parallelograms about a diameter, together with the two complements, is called a gnomon. Prop. I. Theor. If there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. Prop. II. Theor. If a straight line be divided înto any two parts, the rectangles contained by the... | |
 | Euclides - 1816 - 588 pages
...' which are at the opposite angles of the parallelograms ' which makes the gnomon.' PROP. I. THEOR. IF there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. BouK II. Let A and BC be two straight lines ; and let BC be di-^ " vided into any parts in the points... | |
 | John Playfair - 1819 - 354 pages
...may also, ' for the sake of brevity, be ' called the gnomon AGK or ' EHC." DEC PROP. I. THEOR. . . If there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ; the... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...also, ' for the sake of brevity, be ' called the gnomon AGK or ' EHC." A E. K G PROP. I. THEOR. ff there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. • */ -i Let A and BC be two straight lines ; and let BC be divided into any parts in the points D,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the opposite angles of the Б Q с parallelograms which make the gnomon.' Propoñlion. 7. Theorem» If there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ; the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...straight lines, one of which is divided into any number of parts; the rectangle contained by the 1wo straight lines, is equal to the rectangles contained...undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E : the... | |
 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...PROPOSITION IV. THEOREM. If there be two straight lines of which one is divided into parts, the sum of the rectangles contained by the undivided line, and the several parts of the other, will be equal to the rectangle contained by the two whole lines. Let the lines be AB, AC, of... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...divided into any number of partt, the rectangle contained by the tiro lines shall be equal to tht sum of the rectangles contained by the undivided line, and the several parts of the tliridfd line. Let AB and С be two straight lines, of which AB is divided into the parts AI), DE,... | |
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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. Let... 
