A cluster of three gears, 4, 5 and 6, slides along square guide a of shaft 1, and can be shifted into engagement with gears 9, 10 and 7 which are keyed together with gear 11, to sleeve 15. Sleeve 15 rotates freely about shaft 2. Gears 12 and 13 are keyed to intermediate shaft 14 and are in constant engagement with gears 11 and 8. Gear 8 rotates freely on shaft 2. Clutch 3 slides along square guide b of shaft 2 and can be shifted into engagement with the clutch members of either gear 7 or 8. If gears 4 and 9 are in engagement and clutch 3 is engaged to gear 7, the transmission ratio is i₁₂=-z₉/z₄. If clutch 3 is shifted into engagement with gear 8, the transmission ratio is changed to i₁₂=-(z₉/z₄)(z₁₂/z₁₁)(z₈/z₁₃). Correspondingly, if gear 5 is shifted into engagement with gear 10, the two engagements of clutch 3 provide the transmission ratios the i₁₂=-z₁₀/z₅ and i₁₂=-(z₁₀/z₅)(z₁₂/z₁₁)(z₈/z₁₃). Finally, if gear 6 is shifted into engagement with gear 7, i₁₂=-z₇/z₆ and i₁₂=-(z₇/z₆)(z₁₂/z₁₁)(z₈/z₁₃) where z₄, z₅, z₆, z₇, z₈, z₉, z₁₀, z₁₁, z₁₂ and z₁₃ are the numbers of teeth of gears 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13. Thus, when driving shaft 1 rotates, driven shaft 2 can have any one of six different speeds.
$2861$CxG,SR$