 | Charles Hutton - 1815 - 686 σελίδες
...3d, or 4th part of AB, then DE will be a half, 3d, or 4th part of вс : and the same holds of ail the rest. Hence, if DE be the chord, sine or tangent,...or of any number of degrees, to the radius AD, then вс will Lc the same to the radius AB. The sector, it is supposed, was the invention of Guido Baldo... | |
 | Nathaniel Bowditch - 1846 - 854 σελίδες
...proposition, AB : BC : : AD : DE ; so that, whatever part AD is of AB, the same part DE will be of BC ; hence, if DE be the chord, sine, or tangent, of any arc to the radius AD, BC will be the same to the radius AB. Use of the line of Lines. The line of lines... | |
 | William Ezra Worthen - 1857 - 632 σελίδες
...A'BC, ADE, will be similar, and consequently the sides AB, BC, AD, DE, proportional, that is, asABrBC:: AD: DE; so that if AD be the half, third, or fourth...radius AD, then BC will be the same to the radius A B. Tims at every opening of the sector, the transverse distances DE and CB from one ruler to another,... | |
 | W.E. WORTHEN - 1857 - 600 σελίδες
...ADE, will be similar, and consequently the sides AB, BC, AD, DE, proportional, thatis,asAB:BC:: AD:DE; so that if AD be the half, third, or fourth part of...rest. Hence, if DE be the chord, sine, or tangent . Fig, 66 . of any arc, or of any number of degrees to the The line of lines, marked L on each, leg... | |
 | William Ezra Worthen - 1857 - 650 σελίδες
...will be similar, and consequently the sides AB, BC, AD, DE, proportional, that is, asAB:BC:: AD:DE; so that if AD be the half, third, or fourth part of...rest. Hence, if DE be the chord, sine, or tangent Fig. 6«. of any arc, or of any »mnker of degrees to the radius AD, then BC will be the same to the... | |
 | James Pryde - 1867 - 506 σελίδες
...proposition AB : BC : : AD : DE ; so that whatever part AD is of AB, the same part DE will be of BC ; hence, if DE be the chord, sine, or tangent of any arc to the radius AD, BC will be the same to the radius AB. Use of the line of Lines. 106. The line of... | |
 | Nathaniel Bowditch - 1888 - 704 σελίδες
...proposition, AB : BC : : AD : DE ; so that, whatever part AD is of AB, the sane part DE will be of BC ; hence, if DE be the chord, sine, or tangent of any arc to the radius AD, BC will be the same to the radius AB. I' Use of the line of Lines. Art* T. The line... | |
 | William Ezra Worthen - 1892 - 850 σελίδες
...ADE, will be similar, and, consequently, the sides AB, BC, AD, DE, proportional — that is, as AB : BC : : AD : DE ; so that if AD be the half, third,...rest. Hence, if DE be the chord, sine, or tangent the radius AD, then BC will be ry opening of the sector, the transverse distances DE and CB from one... | |
 | William Ezra Worthen - 1892 - 848 σελίδες
...ADE, will be similar, and, consequently, the sides AB, BC, AD, DE, proportional — that is, as AB : BC : : AD : DE ; so that if AD be the half, third,...BC ; and the same holds of all the rest. Hence, if FIG. 142. Fio. 143. T-. ,, , , DR be the chord, sine, or tangent 53 writ distances DE and CB from one... | |
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AD: DE; so that if AD be the half, third, or fourth part of AB, then DE will be a half, third, or fourth part of BC ; and the same holds of all the rest. Hence, if DE be the chord, sine, or tangent of any arc, or of any number of degrees to the radius... 