Just a two penny worth over something that may be causing confusion. The diagram to which the link drops you is correct on the top diagrams, but I believe inaccurate when it shows the motor windings. The motar windings when connected as shown in the diagrams with the wires for 1 phase will produce a delta connected motor rather than the star connection shown. Just use the wiring diagram and don't worry about the how the windings are shown.
Again it may help, there is a lot of mystery surrounding 3ph and its association with 415V. To simplify, down the street there is a 3ph supply, just like the one that's connected into a 3ph machine. In turn normally each house down the street is connected to one of the 3 phases, so the first house gets the blue wire, the second the yellow and the third the red, the pattern then repeats itself. All phases of a 3 phase supply are at a nominal 240v.
A 3ph motor normally (for any reasonable size of motor) has a two stage startup. The first stage is to get the motor spinning, this takes the most energy, and for this reason the motor is normally connected in Star configuration. Once spinning and after a short period of time, the control electronics (or simple timed relay) switches the motor configuration over to delta. To keep the motor running takes less energy than getting it started, and in delta it uses less power. There are exceptions to this where keeping a motor in star configuration is necessary, I.e. Where there is a need for high torque typically used for fans and pumps. Woodworking in general I.e, P/T, circular saws are also high torque applications. However, if you are not in production, using the machine continuously at the limits of what it can do, and prepared to accept the thermal cut out trip once every now and again, connected in delta is not significant (if you hear it starting to slow reduce the feed rate is a typical get around). Delta configuration does not affect the no load speed, but does affect the the ability of the motor to keep running at speed under loads. As the motor slows down, the coils heat up as they need to do more work to keep the motor running.
Putting into perspective, most don't if they have a circular saw capable of cutting 4" cut 4" all of the time, typically 1~3". You will probably never notice the difference of running in Delta. Cutting 4" seasoned oak may cause the motor to start to slow / the thermal trip to interrupt proceedings. However, slowing the feed rate down, and taking a little extra time and the motor will normally cope with what is being asked if it. If you cut 4" seasoned oak day in day out, you need a proper 3ph supply (rotary converter typically) to run the machine off a domestic supply.
This is a very simply explanation of what is a very complex subject, so please don't shoot be down for the glaring gloss over of the technicalities.