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Connect a audio cable from the Audio Out connectors on the cable box to the AUX In Audio connectors on the stereo receiver.
You can connect a 14 speaker jack to a home tuner stereo receiver using the RCA connector.
Regular passive (non-amplified) speakers will need to be connected to a power amp (an old stereo receiver can do this). Connect the line out of the computer to the aux or tape in of the receiver, and then connect speaker cables from the receiver to each of the speakers.
You cannot connect a projector to a TV directly. The connections on the TV for video are inputs, not outputs. You need to connect a source such as a DVD player or cable or satellite receiver to the projector.
If your surround receiver has 2 HDMI inputs, connect both the PS3 and the Xbox 360 to the receiver with HDMI cables, and then connect the HDMI output of the receiver to the television. Simply connect the PS3 and Xbox 360 to the A/V inputs whether they are HDMI, Component, S video, RCA A/V, ETC. It does not matter if it is 480i 720 or 1080P as long as it is a Projector TV and not just a projector
A 14 speaker jack can be connected to a stereo tuner music receiver via an RCA connector.
You cannot connect a receiver to this TV. It has no audio outputs. You can connect your stereo to an external source, such as DVD or BluRay player, or a game console.
Connect the av cable video plug to the composite video in (yellow). Connect the left and right audio to the stereo audio input, or connect these to your surround sound system.
You can connect an Xbox 360 to projector by an HDMI cable or VGA.
It connects to a networked projector.
Any stereo amplifier these days can connect to a speaker from the 1950's. You will just have to connect one side, left or right, to the speaker. You won't get stereo. If your receiver has the option, you should select mono output to combine the signal of both channels. Never connect the left and right speaker leads together to one speaker.
If you TV has output connection, then you can get cables to connect your TV to your projector. For example I have a TV with RCA video and audio outputs, I use 3 RCA cables and then I connect them to my RCA inputs into my projector. My projector has a small speaker, so most of the time I just connect the video cable.