Analyse all this information because using this information you have to translate my sentences into English:

-ing forms or Infinitives
10. to be afraid both –ing forms and Infinitives can follow it:
I am afraid to fly. = I am afraid of flying.
Only -ing form is used, when we speak about things that happen to us unexpectedly without our wanting or choosing them:
I’m afraid of crashing. He avoids speaking Japanese because he is afraid of making mistakes.
I am afraid to dive/of diving into the swimming-pool.
I am afraid of falling into the swimming-pool.
11. After verbs to propose, to attempt, to intend, to continue, can’t bear both structures are possible with no significant difference, but it’s more common to use the Infinitive after to propose, to attempt, to intend: 
I can’t bear getting/to get my hands dirty.
He intends to double the advertising budget.
12. to be sorry
We are to use the Infinitive, when we apologize for something we are going to do or doing:
(I am) sorry to disturb you, but can I have your attention for a while? 
When we speak about something what has already been done, we can use:
Sorry to have disturbed you yesterday.
Sorry for disturbing/having disturbed you yesterday.
Sorry that I disturbed you yesterday.
13. certain or sure
-ing form is used, when somebody feel certain to do it, but he can be wrong:
He was sure/certain of winning the other team, but in a little while he lost his confidence. 
Infinitive is used, when we expect that something will happen and we are confident about it:
His team is sure/certain to win, the other team has no chance.
14. used to + Infinitive , be used to + -ing form
-ing form is used after expression to be used to:
I am quite used to walking a lot. 
Infinitive is used, when we speak about some repetitive action in the past, which is not done any more:
When a student I used to walk a lot.
15. to be accustomed to do / to doing something:
He was not accustomed to eat that much / to eating that much.

-ing forms after
1. Prepositions after, before, without, by, about, to:
The driver always checks the oil before starting his car.
He never washes hands after eating fish.
You can’t make an omelette without breaking eggs. 
The job was finished by working sixteen hours a day.
He started talking about moving to the country.
We’re looking forward to seeing you soon.
2. Conjunctions as, like, than, any/some/no good; any/some/no use:
As well as getting on everybody’s nerves, he has got a habit of borrowing money and forgetting to pay it back. Why don’t you want to do something good, like cleaning the flat?
Nothing can depress me more than waking up at 6 o’clock.
Is it any good explaining it again?
It is no much use buying meat for you, if you are vegetarian. 

-ing forms or Infinitives
1. to remember and to forget 
-ing form is used, when we speak about something what has already happened:
I’ll always remember meeting her in the library.
He says, he will never forget talking to me at that party.
Infinitive is used, when we speak about something what should be done.
Remember to go to the post-office!
Don’t forget to buy some cheese! She always forgets to give me my letters when she comes home.
2. to stop
-ing form is used, when we speak about something what we give up doing:
I told him to stop smoking. 
Infinitive is used, when we make pause to do something else:
She stopped to buy some water.
3. to go on
-ing form is used, when we continue what we have been doing before:
How long do you intend to go on playing these bloody records?
Infinitive is used, when we change the action and do something else:
The professor welcomed the students and went on to explain some new regulations. 
4. to regret
-ing form is used, when we speak about something what has already happened:
He didn’t regret telling her those silly things.
Infinitive is used, when we are sorry for what we are going to do:
I regret to inform you that we are unable to offer you employment.
5. to like (would like)
-ing form is used, when we speak about something we always enjoy (Infinitive is also possible particularly in American English):
I like walking in this park. 
Infinitive is used, when we say, what we want to do:
I didn’t like to disturb you.
I would like to have some snack. 
6. to love, to hate, to prefer
-ing form is used, when we speak about some action generally:
I love staring/to stare at the stars. I hate washing/to wash dishes. I prefer walking/to walk in our garden. 
Infinitive is used, when we speak about certain action at this moment:
I’d love to see your paintings some time. I hate to interrupt our talk but I really have to go home.
Shall I give you a lift? – No, thanks, I prefer to walk. 
7. to allow, to permit, to forbid, to advise
-ing form is used, when there is no personal object:
She never allows smoking in this room. They forbid discussing politics. I don’t advise buying this house.
Infinitive is used, when we mention some personal object:
She never allows me to smoke in this room. They forbid us to discuss politics. I don’t advise you to buy this house.
8. to try 
-ing form is used, when we make an experiment, do something to see what will happen:
Try putting some more sugar!
Infinitive is used, when we ask to make an effort:
Try to understand me! He tried to learn English. 
9. to begin, to start
Both -ing forms and Infinitives are possible after these verbs:
He began playing / to play the violin. 
No -ing form is used when the verbs to begin, to start are used in any Continuous Tense: 
He was beginning to get angry.
No -ing form is used when the verbs to begin, to start are followed by the verbs to understand and to realize:
He began to understand what he really wanted.

-ing forms (Gerunds)
Correct Usage of –ing Forms 
The list of the verbs followed by –ing forms
Admit, appreciate, avoid, consider, contemplate, delay, deny, detest, dislike, endure, enjoy, escape, excuse, face, feel like, finish, forgive, give up, imagine, involve, leave off, mention, mind, miss, postpone, practise, put off, resent, resist, risk, suggest, understand.
He doesn’t admit our presence here. He doesn’t admit our coming here.
I really appreciate having time to relax. 
Have you ever considered getting a job abroad?
If you will excuse my interrupting.
He mentioned having been in hospital last year.

-ing forms (Gerunds)
Beating children can do more harm than good. 
I hate writing letters. One of his worst habits is biting nails. 

The rebuilding of Coventry lasted several years.
That was a questioning of our basic principles. 
I don’t like all this arguing.

He lived out of town designing a new factory. The designing of a new factory required all his time.

Do you mind my smoking here? I’m annoyed about John’s constant arguing. 
Do you mind me smoking here? I’m annoyed about John constant arguing.

To see, hear, notice, feel
I saw (heard) them crying. Their crying was horrible. 

Participles  
Participle I	Simple 	Perfect 
Active	writing	having written
Passive	being invited	having been invited
Participle Clauses
1.	After verbs: to believe, consider, feel, find, get, keep, leave, like, make, see, think, watch, + would like.
When she came home, she found her child sleeping on the floor. 
When she came home, she found the door locked.
Despite myself I felt my attention caught. I want it done tomorrow. I would like it proved as soon as possible. I left all dishes washed when leaving the kitchen. Did you hear this matter mentioned?
When can you get my book published? When I was leaving the house, I saw a bag thrown on the grass. 
2.	After verb to have: I have washed my car. I need to have my car washed. When can I have my car repaired? 
3.	After prepositions when, till, until, as, once, if, unless, though, even though:
She can be very furious when roused. 
He can be very nice if praised. 
Once arrived at the quay he started watching the people working there. 
He never utters a single word unless spoken to. 
It’s Sunday, the letter won’t arrive by Tuesday even if posted now. 
“Can he know it?” asked John as though surprised.
4.	Come to that – якщо вже про це йдеться. Come to that I’m sure you will do it well. 
5.	Provided = providing (за умови, якщо). You can be reelected provided you change your tactics. 

Participles  
Participle I	Simple 	Perfect 
Active	writing	having written
Passive	being invited	having been invited
Participle Clauses
1.	With prepositions after, before, since, when, whenever, once, until, while, on, as:
Having written a letter, he left it on his table. = After writing his letter, he left it on the table.  
After having annoyed everybody, he left their company.
Switch off the device before fixing it.
She is very sad since coming back from Luton.
When telephoning London numbers from abroad, dial 1 not 01.
He ignored everybody while telephoning his girlfriend. (While ‘u’ wait)
On being introduced to somebody, a British person often shakes hands.
You shall pay on signing this contract.
She surprised me greatly as being a very nervy kind of person.
Any brain dies, once deprived = being deprived of oxygen.
Leave it in oven until cooked = being cooked to a light brown colour.
2.	After verbs see, hear, notice, watch, feel, smell:
I heard him play a Tchaikovsky Concerto. I heard him playing a Tchaikovsky Concerto. 
He noticed me talking to her. We watched them running to their car.
3.	After verbs find and get:
I found her drinking my tea. Do you hope he can get the radio working?
4.	After verb have:
We’ll have him soon walking. He won’t have you telling him what to do.

Participles  
Participle I	Simple 	Perfect 
Active	writing	having written
Passive	being invited	having been invited
Not knowing (he didn’t know) what to do, he called the police.
(Putting) having put (after he had put) down his book, he came up to the window.
(Being) used (if it is used) economically, one tin will last for at least a month.
Being unable to help in any other way, he gave her some money.
Not wishing to continue her studies, she decided to become a ballet-dancer. 
Feeling quite tired, I called her and said I couldn’t come.
Having finished all my letters, I brought them to the post-office. 
Looking out of the hotel window, there were lots of mountains. 
Looking out of the hotel window, I / one could see a lot of mountains.
Generally speaking, men can run faster than women. 
Broadly speaking, dogs are more faithful to man than cats.
Judging from her expression, she was completely upset. 
I’ll lend you some money, providing / provided you pay it back by Easter. 
Supposing there is a war, what would you do?
Taking everything into consideration, they ought to be given another chance. 

Nobody having anything to say, the meeting was closed.
All the money having been spent, she started looking for some job.
A little girl walked past, her doll dragging behind her on the pavement.
Subject can be introduced by with:
A car roared past with smoke pouring from the exhaust.
With Peter working in Birmingham, and Lucy travelling most of the week the house seemed pretty empty.

Participles  
Participle I doing, working, Participle II done, worked.
Can you see a girl standing next to that table?
Participle I
Infinitive	Simple	Continuous	Perfect	Perfect Continuous
Active	to write	to be writing	to have written	to have been writing
Passive	to be written	-		to have been written	-

Participle I	Simple 	Perfect 
Active	writing	having written
Passive	being invited	having been invited
He was sitting at his table writing (пишучи) some letter.
Having written (написавши) some letter, he got up and left his office.
Being often invited (будучи часто запрошуваним) to different conferences, he was always elected chairman.
Having been elected (бувши обраним) chairman he started the conference.