Pare the beets and cut into long strips. Strain the tomatoes, over the beets, not letting any seeds through. Add water. Put in the onion and meat, and simmer for 30 minutes. Add lemon juice, sugar and salt. Boil 1/2 hour more. Beat eggs with salt. Add the hot borscht to beaten eggs, a little at a time, stirring well to prevent the separating of the eggs. Serve at once, while very hot.