Apple also introduced a system for using the phone to make credit card payments at retail stores.

Apple is turning to the past as it lays out its future. The company is holding the event at the Flint Center for the Performing Arts, the same venue where Jobs unveiled the industry-shifting Mac computer 25 years ago. The Cupertino, California, venue is near Apple's headquarters.

As for the iPhones, which still represent the main source of Apple's profits, larger models should help the company compete with Android devices.

Here's what unfolded at Tuesday's event:

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LARGER iPHONES

The iPhone 6 will have a 4.7-inch screen, while the iPhone 6 Plus will be 5.5 inches. The screen resolution on the Plus version will be sharper than previous iPhones, at 401 pixels per inch rather than 326.

With the larger screen comes a new horizontal view of the home screen. Usually, icons are stacked vertically, even when the phone is turned horizontally. App developers will also have new tools to rearrange their content to take advantage of that larger screen.

The new phones aren't as big as Samsung's latest flagship phones — 5.1 inches for the Galaxy S5 and 5.7 inches for the Note 4 — but they will be large enough to neutralize a key advantage Samsung and other Android manufacturers have had.

Notably, Samsung's Note phone isn't getting bigger this year. Last year's Note 3 was 5.7 inches. Instead, Samsung is emphasizing other hardware features, such as a sharper screen. It's also releasing a model with a curved edge to display weather, time and other information on the side of the phone.

Apple says the new phones will be faster and have better battery life than previous versions. The phones will also have a new sensor, the barometer, to estimate how much you've climbed stairs, not just how far you've walked or run.

Of course, some people still use their phones to actually make calls. When there's poor cellular reception, people will be able to make regular calls over Wi-Fi. The handoff between the two networks will be seamless. In the U.S., this feature will initially be available through T-Mobile.

The resolution on the camera is staying at 8 megapixels, while rival Android and Windows phones have been boosting that. The S5, for instance, is at 16 megapixels. However, the megapixel count is only one factor in what makes a good photo. Apple says it is putting in new sensors for better shots.

Apple is also improving a slow-motion video feature by allowing even slower shots. The camera will be able to take 240 frames per second, double what's in last year's iPhone 5s. Normally, video is at 60 frames per second.

The new phones will start shipping in the U.S. on Sept. 19, with advance orders to begin this Friday. Starting prices will be comparable to those in the past — $199 with a two-year contract for the iPhone 6 with 16 gigabytes of storage.

However, the step-up models will have double the memory than before — $299 for 64 gigabytes and $399 for 128 gigabytes. The iPhone 6 Plus phones will cost $100 more at each configuration.

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MOBILE PAYMENTS

Apple is calling its new payment system Apple Pay.

You'll be able to use your phone's camera to capture a photo of your card. Apple will verify it behind the scenes and add it to your phone's Passbook account so you can make payments at a retailer. Apple announced several merchants that will accept this system, including Macy's, Whole Foods, Walgreens and Disney stores — and of course, Apple stores.

Many companies have tried to push mobile payment services, but none has caught on widely. Cook says that's because the business models have been centered around companies' self-interest instead of the user experience. The latter, Cook says, is "exactly what Apple does best."

For security, the card number is stored only on the device. Each time you pay, a one-time card number is created to make the transaction.

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A SMARTWATCH

The audience erupted with cheers as Cook proclaimed that he had, "one more thing." It was how Jobs used to close his keynote addresses.

That one more thing was Apple's upcoming smartwatch. It's called the Apple Watch, rather than the iWatch that many people had been speculating.

Consumer electronics companies have yet to demonstrate a compelling need for smartwatches, while bracelets have largely been niche products aimed at tracking fitness activities. Apple's device looks to change that.

Consider the company's track record: Music players, smartphones and tablet computers existed long before Apple made its own versions. But they weren't mainstream or popular until the iPod, iPhone and iPad came along. Under Jobs, Apple made those products easy and fun to use.

Cook says Apple had to invent a new interface for the watch because simply shrinking a phone wouldn't work.

Much of the interaction would be through the dial on the watch, which Apple calls the digital crown. You use that to zoom in and out of a map, for instance, so you're not blocking the screen, which would have occurred if you were pinching in and out to zoom.

Apple also worked with app developers to create new functionality. You'll be able to unlock room doors at Starwood hotels or remind yourself where you parked your car with a BMW app.

The new watch will come in a variety of styles and straps, with a choice of two sizes. Watches from competing vendors have been criticized for being too big for smaller arms.

The watch will require one of the new iPhones or an iPhone 5, 5s or 5c. It will be available early next year at a starting price of $349.

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NEW SOFTWARE

Though much of the attention has been on new gadgets, the software powering those gadgets is getting its annual refresh. Apple considers iOS 8 to be its biggest update since the introduction of the app store in 2008.

Existing iPhone and iPad users will be eligible for the free upgrade, too. Apple takes pride in pushing existing customers to the latest software, allowing app developers to incorporate new features without worrying about abandoning existing users. With Android, many recent phones can't be upgraded right away because of restrictions placed by manufacturers and wireless carriers.

Among other things, iOS 8 will let devices work better in sync. For instance, it'll be possible to start a message on an iPhone and finish it on an iPad. With an upcoming Mac upgrade called Yosemite, it'll be possible to continue working on that same message on a Mac computer as well.

These handoff features will extend to the new Apple Watch, too.

The new software will be available to existing users on Sept. 17.

Closing out the event, U2 performed on stage before Cook made its new album, "Songs of Innocence" available for free to all customers of Apple's iTunes.

Apple's stock was up 1 percent to $99.36 in Tuesday's late afternoon trading.