The path of totality is rarely more than 300 km wide, but the penumbra shadow (in which partial eclipse can be seen) is about 7000 km wide. Thus, one can see many partial solar eclipses in a lifetime without moving (in which one must use filters or projection to safely view the partially covered sun), but most people have to travel some distance to see totality in their lifetime.
Interactive Google map, via NASA, for 2017 August 21 total eclipse
You can zoom in or out, as needed. Clicking on any point on the map will give the duration of totality (2m40s maximum), the sun's altitude and azimuth in the sky, and the times for various phases of the eclipse in Universal Time (UT). Note that EDT = UT - 4 hours; CDT = UT - 5 hours; MDT = UT - 6 hours; and PDT = UT - 7 hours. You want to be inside the two parallel blue lines (which are about 60 miles apart) and as close to the red central line as possible, to see the longest duration of the moon totally covering the sun's disk.
Here you see the path of totality in narrow, parallel, blue lines; the green lines parallel to these show how much the sun will be eclipsed in partial eclipse as you move away from the totality path -- 0.80 meaning 80% of the sun cover, 0.60 meaning 60% covered, etc. (thus, New York City and Las Vegas will both see about three-quarters of the sun covered at peak).
The sun's apparent diameter ranges from 31'.47 (31.47 arc minutes) at aphelion to 32'.53 at perihelion. The moon's apparent diameter ranges from 29'.4 to 33'.53. [There are 60 arc minutes on one degree, so the sun and moon are roughly half a degree in size.] Thus, the moon's apparent diameter can exceed the sun's by as much as 2' or can be as much as 3' smaller. It's a happy coincidence for us that -- though the sun is 1,400,000 km across and the moon is only 3500 km in diameter -- the sun is 400 times farther than the moon (to compensate for it' being 400 times larger).
The moon's orbit is inclined about 5 degrees with respect to the earth's orbit about the sun, so though the moon lines up with the sun every 29.5 days or so, it isn't always in a direct line. Thus, total solar eclipses only occur somewhere on the earth approximately every 1.5 years.
From 2001 to 2100, there are 224 solar eclipses, of which 77 are partial only, 70 are annular, 67 are total, and 7 are hybrid (annual/total mixed). Total eclipses can last as long as seven and a half minutes; annual eclipses can last as long as twelve and a half minutes.
Eclipses of similar duration repeat in a "saros" cycle of approximately 18 years 11 days, each time shifting about a third of the way around the world westward and about 4 or 5 degrees north or south in geographical latitude. A series of eclipses from one saros begins at one pole and ends at the opposite pole some 12-15 centuries later. New saros eclipses are beginning as old saros cycles end. Ancient astronomers learned of both the saros cycle and the metonic cycle, the latter being a cycle in which non-saros-group eclipses occur almost exactly every 19 years (thus, eclipses of different durations and not-predicatable locations on the earth with respect to each other). The eclipses of 1979 Feb. 26 and 1998 Feb. 26 are an example of the metonic cycle.
Eclipse magnitude = the fraction of the sun's diameter occulted by the moon.
UT = Universal Time (in USA, EDT = UT - 4 hours; CDT = UT - 5 hr; MDT = UT - 6 hr; PDT = UT - 7 hours).
All solar eclipse paths projected onto the earth, by double-decades:
[from F. Espenak (1987), *Fifty Year Canon of Solar Eclipses: 1986-2035*, NASA Ref. Publ. 1178 Revised. Has the north-polar diagram showing eclipses of Saros 120. Has global (in 1/3 segments) maps of eclipses at 20-yr intervals]
[from F. Espenak (2006), *Five Millennium Canon of Solar Eclipses: -1999 to +3000 (2000 BCE to 3000 CE)*, NASA/TP-2006-214141]
This diagram [also from Stephenson (1997)] shows what happens with a predicted eclipse in the distant past when no allowance is made for the slowing of the earth's rotation.
Further information is available via e-mail from