 | Charles Butler - 1814 - 528 páginas
...may be shewn of every point in CT, •.• CT is without the circle. QED Cor. Hence it appears that the shortest line that can be drawn from a given point to a given straight line, is that which is perpendicular to the latter. 185. In the enunciation of this... | |
 | Charles Hutton - 1822 - 616 páginas
...remain all the outward angles equal to four right angles (by ax. 3). THEOREM XXI. A PERPENDICULAR in the Shortest Line that can be drawn from a Given Point to an Indefinite Line. And, of any other Linct drawn from the same Point, those that are Nearest the Perpendicular, are less than those More... | |
 | John Martin Frederick Wright - 1829 - 206 páginas
...drawn from one point to another is the straight line, The above is the method of Legendre. 123. What is the shortest line that can be drawn from a given point to a given \ ? Let A be the given point. BC the given | . From A let fall a J_ AD upon BC, take -t: G^... | |
 | John Playfair - 1837 - 332 páginas
...side BC. And because the side DA is equal to AB, and AC *^ 42 ADDITIONAL PROPOSITIONS. PROP. A. THEOR. A perpendicular is the shortest line that can be drawn from a point, situated without a straight line, to that line: any two oblique lines drawn from the same point... | |
 | John Playfair - 1842 - 332 páginas
...DAC is a right angle ; therefore also BAC is a right angle. ADDITIONAL PROPOSITIONS. PROP. A. THEOR. A perpendicular is the shortest line that can be drawn from a point, situated without a straight line, to that line : any two oblique lines drawn from the same point... | |
 | Euclides - 1846 - 292 páginas
...equal : prove that the line joining the given points Will bisect the given line at right angles. 4. The perpendicular is the shortest line that can be drawn from a given point to a given line, and that which is nearer to the perpendicular is less than one more remote ; and from... | |
 | Euclid, John Playfair - 1846 - 334 páginas
...DAC is a right angle ; therefore also BAC is a right angle. ADDITIONAL PROPOSITIONS. PROP. A. THEOR. A perpendicular is the shortest line that can be drawn from a point, situated without a straight line, to that line : any two oblique lines drawn from the same point... | |
 | Charles William Hackley - 1847 - 248 páginas
...double the number of sides and subtract 4, the right angle being the unit of measure.! THEOREM XVII. A perpendicular is the shortest line that can be drawn...other lines drawn from the same point, those that are equally distant from the perpendicular are equal, and those nearest the perpendicular are less than... | |
 | George Roberts Perkins - 1847 - 326 páginas
...sum of the angles CBF and FBD, that is, to the whole angle CBD (Ax. II), PROPOSITION XXVI. THEOREM. A perpendicular is the shortest line that can be drawn from a given point to a line of indefinite length ; and of any other lines drawn from the same point, those that are nearest... | |
 | Charles Davies - 1850 - 218 páginas
...exceed two right angles : hence, at least two angles of every triangle must be acute. THEOREM XVIII. I. A perpendicular is the shortest line that can be drawn from a given point to a given line. II. If any number of lines be drawn from the same point, those which are nearest the... | |
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A perpendicular is the shortest line that can be drawn from a given point to a given line. 
