The invention is a two-stage speed increaser arrangement comprising force transmission members having a first, second, third and fourth pitch surface (100A, 100B, 100a, 100b), wherein the first pitch surface (100A) and the third pitch surface (100a) having a common first line segment (102A) and the second pitch surface (100B) and wherein the fourth pitch surface (100b) having a common second line segment (102B).

The two-stage speed increaser arrangement is characterised in that considering as an origin (T1), of an orthogonal coordinate system in a plane (104) perpendicular to the second line segment (102B), a projection of the second line segment (102B) to the plane (104), and considering that the Y axis of the coordinate system is pointing in the direction of a projection point (TO) of a point (D) of the first line segment (102A) to the plane (104), the following Formula 1 is satisfied at all times for the arrangement, in a coordinate system defined for each point (D) of the first line segment (102A):

x(((y′+d)x−x′y)(x.sup.2+y.sup.2−dy)+d.sup.2xy)≥0,  Formula 1

wherein
d is the distance of the projection point (T0) from the origin (T1),
x and y are the coordinates of a projection point (K), as projected to the plane (104), of an arbitrary tooth contact point (P) within any tooth contact region of the first pitch surface (100A) and the third pitch surface (100a), and
x′ and y′ are the coordinates of the projection point (K′), as projected to the plane (104), of an arbitrary tooth contact point (P′) situated along any tooth contact region of the second pitch surface (100B) and the fourth pitch surface (100b).

The invention is furthermore a gear train satisfying the above formula.

A substrate for forming timepiece components includes a first part based on photostructurable glass and at least a second part based on at least one second material. One surface of the first part is made integral with a surface of the second part so as to form a one-piece timepiece component.

A substrate for forming timepiece components includes a first part based on photostructurable glass and at least a second part based on at least one second material. One surface of the first part is made integral with a surface of the second part so as to form a one-piece timepiece component.

A time display apparatus for indicating time in a plurality of time zones simultaneously, the apparatus includes a case having a compartment enclosed by a cover, the case having a dial member indicating a 12-hour time clock and a 24-hour time clock, a first wheel completing one revolution in 12 hours and coupled to an hour hand, a second wheel completing one revolution in 1 hour and coupled to a multi-zone minute hand having at least two different vertices, and a third wheel completing one revolution in 24 hours and coupled to a multi-zone hour indicator hand having at least two different indicators, wherein each vertex of the multi-zone minute hand indicates a different minute marking on the 12 hour time clock and each indicator of the multi-zone hour indicator hand indicates a different hour marking on the 24 hour time clock corresponding to different time zones.

A time display apparatus for indicating time in a plurality of time zones simultaneously, the apparatus includes a case having a compartment enclosed by a cover, the case having a dial member indicating a 12-hour time clock and a 24-hour time clock, a first wheel completing one revolution in 12 hours and coupled to an hour hand, a second wheel completing one revolution in 1 hour and coupled to a multi-zone minute hand having at least two different vertices, and a third wheel completing one revolution in 24 hours and coupled to a multi-zone hour indicator hand having at least two different indicators, wherein each vertex of the multi-zone minute hand indicates a different minute marking on the 12 hour time clock and each indicator of the multi-zone hour indicator hand indicates a different hour marking on the 24 hour time clock corresponding to different time zones.

A horological display mechanism with an elastic hand (1) for driving, about a shaft (D), pipes mounted at the ends of a flexible blade (3), arranged to deform the flexible blade (3), including a mechanism acting on the drive train of the first pipe (2) and of the second pipe (4) and which includes two planetary wheels (82; 84) for driving the pipes (2; 4), and an input planet-carrier chassis (180) for driving the hand (1), and rotatable with a regulation cam (801), the track (802) of which includes a rising edge and falling edge. An elastic arm (803) has a distal end which cooperates with the track and a rising edge of which raises the elastic arm (803) away from the axis of the cam to consume torque, and a falling edge which makes the elastic arm move back towards the axis to restore torque to the system.

A time display apparatus for indicating time in a plurality of time zones simultaneously, the apparatus including a dial member indicating a 12-hour time clock, a first wheel completing one revolution in 12 hours and coupled to an hour hand, and a second wheel completing one revolution in 1 hour and coupled to a multi-zone minute hand having at least two different vertices, wherein each vertex of the multi-zone minute hand indicates at least two different minute markings on the 12-hour time clock.

A time display apparatus for indicating time in a plurality of time zones simultaneously, the apparatus including a dial member indicating a 12-hour time clock, a first wheel completing one revolution in 12 hours and coupled to an hour hand, and a second wheel completing one revolution in 1 hour and coupled to a multi-zone minute hand having at least two different vertices, wherein each vertex of the multi-zone minute hand indicates at least two different minute markings on the 12-hour time clock.

A timepiece transmission mechanism, with a differential mechanism with inputs or outputs including a first wheel set cooperating with a first train and a second wheel set cooperating with a second train, this differential mechanism kinematically connecting the first wheel set and second wheel set in the coupling position, and separating them in the uncoupling position, the first wheel set carrying a planet wheel set which meshes with a toothing of an arbor integral in rotation with the second wheel set, and with a crown-wheel forming another input or output of the differential mechanism, which includes control means arranged to lock or release the crown-wheel to perform the coupling or the uncoupling function, depending on the position given to the control means by a selector arranged to cooperate with an actuator of a timepiece movement, or to be operated by a user.

A timepiece movement includes a control unit that determines a position of an indicating hand by detecting a rotation state of a rotor, and a train wheel that transmits a drive force of a stepping motor to the indicating hand, and that has a first gear, and a second gear and a third gear which mesh with the first gear. The first gear has a reference load unit that causes fluctuations in a load applied to the rotor in each case of meshing with the second gear and the third gear. A first line segment which connects a center of the first gear and a center of the second gear to each other forms an angle smaller than 180° with a second line segment which connects the center of the first gear and a center of the third gear.