6.40 Klein's Unification of Geometry. 7.5 The City of Leeds. 7.30 Maths: Geometric Vectors.

A film from Czechoslovakia, in three parts.
1: The King is angry because Martin has discovered the secret of the language of animals and sends him on a perilous journey. Story told by COLIN JEAVONS
(First shown on BBC1)
(Part 2 tomorrow on BBC1 at 9.10 am)

With PIPPA GUARD
A Donkey Called Paloma by NINA WARNER HOOKE Today: Part 3
(Part 4 tomorrow on BBC1 at 9.30 am)

with TONY HART and the Tin Pots Dragons

Presented by the children of the Bristol Why Don't You .. ? gang

12.30 The First Years of Life: when 2-year-olds begin to assert their independence, there may be a clash of wills.
12.55 Childhood 5-10: family arguments can be resolved in a number of ways.

The NatWest Bank Trophy Semi-final
Further coverage of both today's semi-finals.
Introduced by PETER WEST and TONY LEWIS
Producer NICK HUNTER

This programme looks in detail at three of Titian's paintings, Noli me tangere (c 1508), Bacchus and Ariadne (c 1520) and The Death of Actaeon (mid-1560s) and shows how his stylistic development is related to his technique as a painter.
Producer NICK LEVINSON
A BBC/Open University production

The NatWest Bank Trophy
Semi-final. Further coverage

with subtitles, followed by Weather

Isla St Clair and Desmond Lynam with all the latest stories from the world of travel.
Today's Exchange Rates: what it will cost you abroad for everything from petrol to postcards.
Traffic Jam of the Week: where it's going to be and how to avoid it. Holiday Weather: Jim Bacon sticks his neck out.
Producer ROGER MACDONALD
Executive producer ALAN DOBSON

A 19th-century Breakfast
The fourth of eight programmes in which Arthur Negus visits houses which he especially enjoys. Arthur and television chef Michael Smith meet up again in the State Dining Room at Goodwood. Michael has prepared the Great English Breakfast of around 1860. As well as the food, the furniture, silver and glass naturally catch Arthur's eye.
Director BRIAN Hawkins. BBC Bristol

Our Green and Threatened Land? 'The unique character of our countryside is being destroyed by a far-reaching agricultural revolution,' says Marion Shoard , author of The Theft of the Countryside. She and Lord Melchett, farmer and conservationist, believe that this is a national scandal. Farmers, they say, are one of the most subsidised sectors of society; destroying hedgerows, wetlands and woods in their search for greater productivity.
Tonight they meet farmers from the Midlands to argue that planning controls should be extended to cover the countryside and that the whole community should have a say in the future of the land. Chairman Nick Ross
Producers tom CONWAY , HUGH PURCELL

Robin Ray presents the last of the heats of this movie quiz, designed to find the person most knowledgeable about the cinema.
This week's players are a life assurance salesman from Cheshire, a bank clerk from London, a buyer for the Electricity Board in Chester and a clerk from Salford, near Manchester.
They each identify a compilation of four films, answer general questions and choose a specific area on which to be more closely tested.
Tonight's chosen areas are: Films of Charlton Heston ; Films of Katharine Hepburn ; Musicals of the 40s; the Academy Awards.
Devised and written by ROBIN RAY Designer amis EDWARDS Directed by PAUL LOOSLEY
Produced by JOHN buttery

BBC2 invitation pairs Crown Green bowling tournament Third Quarter-final
Keith Widdowson, Tony Chambers v Brian Duncan , Norman Fletcher Derbyshire mounts its second quarter-final assault with Keith Widdowson and Tony Chambers looking to go one better than their county colleagues who went out last week. But they face a formidable task in taking on Brian Dun can and Norman Fletcher who will surely be making a determined effort to lift the trophy so narrowly denied them last year.
Introduced by RICHARD duckenfield from the Waterloo Hotel, Black-pool. Commentator HARRY RIGBY
Producer BRIAN ROGERS

starring George Melly with John Chilton 's Feetwarmers In the first of four programmes, the irrepressible jazz entertainer performs on stage, in his inimitable style, numbers that include 'Sporting life ', ' can't give you anything but love' and the legendary ' Hard-hearted Hannah'. featuring
JOHN CHILTON (trumpet) BRUCE BOARDMAN (piano) BARRY DILLON (bass)
CHUCK SMITH (drums)
Recorded at The Theatre Royal, Bury St Edmunds
Sound BARRIE HAWES
Lighting JOHN STERLING Designer STEPHEN SCOTT Producer SIMON BETTS

The NatWest Bank Trophy
Highlights of the day's play.