A second start in mathematics

When an object moves in two dimensions with speed and direction both changing, its acceleration can no longer be visualised in two-dimensional space. We need a new notation.
Introduced by Bill Coleman

An invitation to speak French with Max Bellancourt

A beginners' course in German
Introduced by Leslie Banks

10.30 Interval

Jack Scott looks at the weekend weather

Her Majesty The Queen takes the Salute on Horse Guards Parade, Whitehall, at the Annual Parade in celebration of Her Official Birthday
The Queen's Colour of the 2nd Battalion Scots Guards is being trooped.
There will be eight Guards with a Sovereign's Escort of the Household Cavalry. Music played by the Massed Bands of the Guards Division and the Mounted Band of the Blues and Royals
(Highlights of the ceremony on BBC2 at 4.45 pm)

featuring The Wightman Cup
Introduced by Frank Bough

1.25* The World Cup
The BBC commentary team report

1.35; 2.5; 2.35; 3.5* The Wightman Cup: Great Britain v USA
Ann Jones and Virginia Wade are two of the leading members of the British team taking part in the final day's play at Wimbledon.

1.50; 2.20; 2.50* Racing from Bath
2.0 Clifden Selling Stakes (over 5 furlongs)
2.30 Clevedon Handicap (over 2 miles and 1 furlong)
3.0 The Mark Lane Handicap (over 1 1/4 miles)

2.35; 3.5* Athletics: The British International Games
In this first televised meeting in the new 1970 Commonwealth Games stadium in Edinburgh, Britain's top athletes face strong opposition from East German and Polish athletes.

5.5 Results Service

Grandstand Timetable:
1.25 World Cup
1.35 Tennis from Wimbledon
1.50 Racing from Bath
2.5 Tennis from Wimbledon
2.20 Racing from Bath
2.35 Athletics and Tennis
2.50 Racing from Bath
3.5 Athletics and Tennis
5.5 Results Service

by Jimmy Perry and David Croft
Starring Arthur Lowe, John Le Mesurier and Clive Dunn
featuring John Laurie as Pte Frazer, James Beck as Pte Walker, Arnold Ridley as Pte Godfrey, Ian Lavender as Pte Pike

Branded
in which the bravery of Private Godfrey is called into question
The voice of Bud Flanagan

Tonight's feature film starring Victor Mature, Coleen Gray with Glenn Langan, Reginald Gardiner, Albert Dekker

A western in the best tradition, with Mature trying to clear the name of his father - an army general falsely accused of conspiracy in an Apache massacre. His quest takes him to Furnace Creek, where he penetrates a gang which it seems was responsible - but complications develop when his half-brother appears.

From The Castle Room
Featuring Vince Hill
Special guest stars Cliff Richard, Ronnie Corbett and Clodagh Rogers
Introducing Berry Cornish and Laura Symonds, with Eli Woods

A film series starring Raymond Burr as Robert Ironside, Don Galloway as Det-Sgt Brown, Barbara Anderson as Officer Eve Whitfield, Don Mitchell as Mark Sanger
Guest stars Anne Baxter, Warren Stevens

Overwhelming evidence indicates that Carolyn, one of Ironside's dearest friends, is guilty of murder. But at the risk of losing his job - as well as his team's loyalty and respect - Ironside is determined to prove her innocent.

With Richard Baker and Weather

On behalf of the Liberal Party
(also on BBC2)

Introduced by David Coleman from Mexico
The action... the news the personalities of the 1970 World Cup
A look back at some of the best action from the 24 matches played so far, and a preview of the week of football to come, starting with the Quarter-finals tomorrow.
From the four World Cup centres, the BBC commentary team bring you all the latest news; with comment, analysis, and opinion from the Grandstand team of experts.
In Mexico with David Coleman: Joe Mercer and Don Revie
In London with Frank Bough; Brian Clough, Noel Cantwell, Ian St John, Ray Wilson,
Bob Wilson, Johnny Haynes, Walley Barnes and Jim Finney

or In one eye and out the other
Familiar and unfamiliar faces 'doing their thing'
Music: Rosetta Hightower, Blonde on Blonde
Mime: Adam Darius
Poem: Trevor Adams
Voyeur: Marcel Steiner
Cartoons: Mal Dean Granny is evicted
Animation: Bill Mather
(from Bristol)